Call Now to Set Up Tutoring:

(888) 888-0446

Common Core: High School - Algebra : Solve System of Equations Using Substitution: CCSS.Math.Content.HSA-REI.C.5

Study concepts, example questions & explanations for Common Core: High School - Algebra

Create An Account

All Common Core: High School - Algebra Resources

8 Diagnostic Tests 97 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #1 : Solve System Of Equations Using Substitution: Ccss.Math.Content.Hsa Rei.C.5

Solve for $\uptext{x}$ and $\uptext{y}$ . Round your answer to the nearest hundredth.

x + 6 y = 13

14 x - 3 y = -46

Possible Answers:

x = 13.74 , y = -1.12

x = -0.83 , y = 17.03

x = 18.87 , y = -14.64

x = -2.72 , y = 2.62

x = 19.75 , y = 2.55

Correct answer:

x = -2.72 , y = 2.62

Explanation:

The first step to do is solve for a variable. Let's solve for $\uptext{x}$ first.

x + 6 y = 13

Now we subtract 6 y from each side.

x + 6 y - 6 y = 13 - 6 y

Now we divide by

x = - 6 y + 13

Now since we found $\uptext{x}$ , we can plug this into the other equation and find $\uptext{y}$ .

14 x - 3 y = -46

- 84 y + 182 + - 3 y = -46

Now we solve for $\uptext{y}$ .

- 87 y = -228.0

Now we divide by .

y = 2.62068965517241

Now round to the nearest hundredth.

y= 2.62

Now since we have a value for $\uptext{y}$ , we plug this into the first equation and find $\uptext{x}$ .

x + 15.724137931034482 = 13

Now we subtract 15.724137931034482 from each side.

x = -2.724137931034482

Now we divide by

x = -2.72413793103448

Now round to the nearest hundredth.

x= -2.72

Report an Error

Example Question #2 : Solve System Of Equations Using Substitution: Ccss.Math.Content.Hsa Rei.C.5

Solve for $\uptext{x}$ and $\uptext{y}$ . Round your answer to the nearest hundredth.

- 3 x + 14 y = -95

38 x + 13 y = 28

Possible Answers:

x = 2.85 , y = -6.18

x = -8.58 , y = -15.58

x = -0.9 , y = -17.17

x = -19.72 , y = -9.45

x = -1.24 , y = 9.2

Correct answer:

x = 2.85 , y = -6.18

Explanation:

The first step to do is solve for a variable. Let's solve for $\uptext{x}$ first.

- 3 x + 14 y = -95

Now we subtract 14 y from each side.

- 3 x + 14 y - 14 y = -95 - 14 y

Now we divide by

$x = \frac{14 y}{3} + \frac{95}{3}$

Now since we found $\uptext{x}$ , we can plug this into the other equation and find $\uptext{y}$ .

38 x + 13 y = 28

$\frac{532 y}{3} + \frac{3610}{3} + 13 y = 28$

Now we solve for $\uptext{y}$ .

$\frac{571 y}{3} = -1175.3333333333333$

Now we divide by $\frac{571}{3}$

y = -6.17513134851138

Now round to the nearest hundredth.

y= -6.18

Now since we have a value for $\uptext{y}$ , we plug this into the first equation and find $\uptext{x}$ .

- 3 x + -86.45183887915935 = -95

- 3 x - 86.4518388791594 = -95

Now we add 86.45183887915935 to each side.

- 3 x = -8.548161120840646

Now we divide by

x = 2.84938704028022

Now round to the nearest hundredth.

x= 2.85

Report an Error

Example Question #1 : Solve System Of Equations Using Substitution: Ccss.Math.Content.Hsa Rei.C.5

Solve for $\uptext{x}$ and $\uptext{y}$ . Round your answer to the nearest hundredth.

16 x + 42 y = -94

14 x - 26 y = -68

Possible Answers:

x = 0.66 , y = -6.54

x = -5.28 , y = -0.23

x = -19.6 , y = 12.87

x = -16.26 , y = 14.15

x = 11.51 , y = -7.77

Correct answer:

x = -5.28 , y = -0.23

Explanation:

The first step to do is solve for a variable. Let's solve for $\uptext{x}$ first.

16 x + 42 y = -94

Now we subtract 42 y from each side.

16 x + 42 y - 42 y = -94 - 42 y

Now we divide by

$x = - \frac{21 y}{8} - \frac{47}{8}$

Now since we found $\uptext{x}$ , we can plug this into the other equation and find $\uptext{y}$ .

14 x - 26 y = -68

$- \frac{147 y}{4} - \frac{329}{4} + - 26 y = -68$

Now we solve for $\uptext{y}$ .

$- \frac{251 y}{4} = 14.25$

Now we divide by $- \frac{251}{4}$ .

y = -0.227091633466135

Now round to the nearest hundredth.

y= -0.23

Now since we have a value for $\uptext{y}$ , we plug this into the first equation and find $\uptext{x}$ .

16 x + -9.53784860557769 = -94

Now we add 9.53784860557769 to each side.

16 x = -84.4621513944223

Now we divide by

x = -5.27888446215139

Now round to the nearest hundredth.

x= -5.28

Report an Error

Example Question #2 : Solve System Of Equations Using Substitution: Ccss.Math.Content.Hsa Rei.C.5

Solve for $\uptext{x}$ and $\uptext{y}$ . Round your answer to the nearest hundredth.

5 x + 5 y = 80

- 39 x + 8 y = -60

Possible Answers:

x = 4.0 , y = 12.0

x = -1.79 , y = -9.08

x = 17.0 , y = 18.64

x = -11.68 , y = -2.49

x = -1.9 , y = -12.84

Correct answer:

x = 4.0 , y = 12.0

Explanation:

The first step to do is solve for a variable. Let's solve for $\uptext{x}$ first.

5 x + 5 y = 80

Now we subtract 5 y from each side.

5 x + 5 y - 5 y = 80 - 5 y

Now we divide by

x = - y + 16

Now since we found $\uptext{x}$ , we can plug this into the other equation and find $\uptext{y}$ .

- 39 x + 8 y = -60

39 y - 624 + 8 y = -60

Now we solve for $\uptext{y}$ .

47 y = 564.0

Now we divide by .

y = 12.0

Now round to the nearest hundredth.

y= 12.0

Now since we have a value for $\uptext{y}$ , we plug this into the first equation and find $\uptext{x}$ .

5 x + 60.0 = 80

Now we subtract 60.0 from each side.

5 x = 20.0

Now we divide by

x = 4.0

Now round to the nearest hundredth.

x= 4.0

Report an Error

Example Question #1 : Solve System Of Equations Using Substitution: Ccss.Math.Content.Hsa Rei.C.5

Solve for $\uptext{x}$ and $\uptext{y}$ . Round your answer to the nearest hundredth.

22 x + 11 y = 98

18 x + 46 y = -57

Possible Answers:

x = -13.59 , y = 14.39

x = 6.31 , y = -3.71

x = -7.34 , y = -17.71

x = -10.41 , y = -4.61

x = -9.08 , y = -13.49

Correct answer:

x = 6.31 , y = -3.71

Explanation:

The first step to do is solve for a variable. Let's solve for $\uptext{x}$ first.

22 x + 11 y = 98

Now we subtract 11 y from each side.

22 x + 11 y - 11 y = 98 - 11 y

Now we divide by

$x = - \frac{y}{2} + \frac{49}{11}$

Now since we found $\uptext{x}$ , we can plug this into the other equation and find $\uptext{y}$ .

18 x + 46 y = -57

$- 9 y + \frac{882}{11} + 46 y = -57$

Now we solve for $\uptext{y}$ .

37 y = -137.1818181818182

Now we divide by .

y = -3.70761670761671

Now round to the nearest hundredth.

y= -3.71

Now since we have a value for $\uptext{y}$ , we plug this into the first equation and find $\uptext{x}$ .

22 x + -40.78378378378378 = 98

22 x - 40.7837837837838 = 98

Now we add 40.78378378378378 on each side.

22 x = 138.78378378378378

Now we divide by

x = 6.30835380835381

Now round to the nearest hundredth.

x= 6.31

Report an Error

Example Question #2 : Solve System Of Equations Using Substitution: Ccss.Math.Content.Hsa Rei.C.5

Solve for $\uptext{x}$ and $\uptext{y}$ . Round your answer to the nearest hundredth.

2 x + 45 y = -15

39 x - 22 y = 64

Possible Answers:

x = 19.33 , y = -12.72

x = -6.91 , y = -4.18

x = 7.4 , y = -15.52

x = 0.31 , y = -7.41

x = 1.42 , y = -0.4

Correct answer:

x = 1.42 , y = -0.4

Explanation:

The first step to do is solve for a variable. Let's solve for $\uptext{x}$ first.

2 x + 45 y = -15

Now we subtract 45 y from each side.

2 x + 45 y - 45 y = -15 - 45 y

Now we divide by

$x = - \frac{45 y}{2} - \frac{15}{2}$

Now since we found $\uptext{x}$ , we can plug this into the other equation and find $\uptext{y}$ .

39 x - 22 y = 64

$- \frac{1755 y}{2} - \frac{585}{2} + - 22 y = 64$

Now we solve for $\uptext{y}$ .

$- \frac{1799 y}{2} = 356.5$

Now we divide by $- \frac{1799}{2}$ .

y = -0.39633129516398

Now round to the nearest hundredth.

y= -0.4

Now since we have a value for $\uptext{y}$ , we plug this into the first equation and find $\uptext{x}$ .

2 x + -17.8349082823791 = -15

2 x - 17.8349082823791 = -15

Now we add -17.8349082823791 to each side.

2 x = 2.8349082823791

Now we divide by

x = 1.41745414118955

Now round to the nearest hundredth.

x= 1.42

Report an Error

Example Question #527 : High School: Algebra

Solve for $\uptext{x}$ and $\uptext{y}$ . Round your answer to the nearest hundredth.

- 32 x + 22 y = 61

39 x - 34 y = 53

Possible Answers:

x = -14.09 , y = -17.72

x = 12.66 , y = 5.59

x = -12.55 , y = 5.44

x = -6.05 , y = -2.64

x = -9.34 , y = 18.4

Correct answer:

x = -14.09 , y = -17.72

Explanation:

The first step to do is solve for a variable. Let's solve for $\uptext{x}$ first.

- 32 x + 22 y = 61

Now we subtract 22 y from each side.

- 32 x + 22 y - 22 y = 61 - 22 y

Now we divide by

$x = \frac{11 y}{16} - \frac{61}{32}$

Now since we found $\uptext{x}$ , we can plug this into the other equation and find $\uptext{y}$ .

39 x - 34 y = 53

$\frac{429 y}{16} - \frac{2379}{32} + - 34 y = 53$

Now we solve for $\uptext{y}$ .

$- \frac{115 y}{16} = 127.34375$

Now we divide by $- \frac{115}{16}$ .

y = -17.7173913043478

Now round to the nearest hundredth.

y= -17.72

Now since we have a value for $\uptext{y}$ , we plug this into the first equation and find $\uptext{x}$ .

- 32 x + -389.78260869565213 = 61

- 32 x - 389.782608695652 = 61

Now we add 389.78260869565213 to each side.

- 32 x = 450.78260869565213

Now we divide by

x = -14.0869565217391

Now round to the nearest hundredth.

x= -14.09

Report an Error

Example Question #528 : High School: Algebra

Solve for $\uptext{x}$ and $\uptext{y}$ . Round your answer to the nearest hundredth.

49 x + 10 y = -64

8 x + 30 y = 3

Possible Answers:

x = -1.4 , y = 0.47

x = -8.46 , y = -10.92

x = -10.89 , y = 19.98

x = 17.58 , y = 14.32

x = -7.24 , y = -8.12

Correct answer:

x = -1.4 , y = 0.47

Explanation:

The first step to do is solve for a variable. Let's solve for $\uptext{x}$ first.

49 x + 10 y = -64

Now we subtract 10 y from each side.

49 x + 10 y - 10 y = -64 - 10 y

Now we divide by

$x = - \frac{10 y}{49} - \frac{64}{49}$

Now since we found $\uptext{x}$ , we can plug this into the other equation and find $\uptext{y}$ .

8 x + 30 y = 3

$- \frac{80 y}{49} - \frac{512}{49} + 30 y = 3$

Now we solve for $\uptext{y}$ .

$\frac{1390 y}{49} = 13.448979591836734$

Now we divide by $\frac{1390}{49}$ .

y = 0.47410071942446

Now round to the nearest hundredth.

y= 0.47

Now since we have a value for $\uptext{y}$ , we plug this into the first equation and find $\uptext{x}$ .

49 x + 4.741007194244603 = -64

Now we subtract 4.741007194244603 from each side.

49 x = -68.7410071942446

Now we divide by

x = -1.40287769784173

Now round to the nearest hundredth.

x= -1.4

Report an Error

Example Question #529 : High School: Algebra

Solve for $\uptext{x}$ and $\uptext{y}$ . Round your answer to the nearest hundredth.

31 x + 29 y = -83

- 43 x - 12 y = 8

Possible Answers:

x = -2.04 , y = 8.04

x = 17.06 , y = 3.32

x = -11.77 , y = -10.06

x = 0.87 , y = -3.8

x = -18.9 , y = 17.82

Correct answer:

x = 0.87 , y = -3.8

Explanation:

The first step to do is solve for a variable. Let's solve for $\uptext{x}$ first.

31 x + 29 y = -83

Now we subtract 29 y from each side.

31 x + 29 y - 29 y = -83 - 29 y

Now we divide by

$x = - \frac{29 y}{31} - \frac{83}{31}$

Now since we found $\uptext{x}$ , we can plug this into the other equation and find $\uptext{y}$ .

- 43 x - 12 y = 8

$\frac{1247 y}{31} + \frac{3569}{31} + - 12 y = 8$

Now we solve for $\uptext{y}$ .

$\frac{875 y}{31} = -107.12903225806451$

Now we divide by $\frac{875}{31}$ .

y = -3.79542857142857

Now round to the nearest hundredth.

y= -3.8

Now since we have a value for $\uptext{y}$ , we plug this into the first equation and find $\uptext{x}$ .

31 x + -110.06742857142856 = -83

31 x - 110.067428571429 = -83

Now we add 110.06742857142856 to each side.

31 x = 27.067428571428565

Now we divide by

x = 0.873142857142857

Now round to the nearest hundredth.

x= 0.87

Report an Error

Example Question #530 : High School: Algebra

Solve for $\uptext{x}$ and $\uptext{y}$ . Round your answer to the nearest hundredth.

- 6 x + 10 y = 80

- 39 x + 13 y = -99

Possible Answers:

x = -7.59 , y = -8.95

x = 5.22 , y = -13.66

x = -3.06 , y = -14.65

x = 6.51 , y = 11.9

x = -15.46 , y = 6.84

Correct answer:

x = 6.51 , y = 11.9

Explanation:

The first step to do is solve for a variable. Let's solve for $\uptext{x}$ first.

- 6 x + 10 y = 80

Now we subtract 10 y from each side.

- 6 x + 10 y - 10 y = 80 - 10 y

Now we divide by

$x = \frac{5 y}{3} - \frac{40}{3}$

Now since we found $\uptext{x}$ , we can plug this into the other equation and find $\uptext{y}$ .

- 39 x + 13 y = -99

- 65 y + 520 + 13 y = -99

Now we solve for $\uptext{y}$ .

- 52 y = -619.0

Now we divide by .

y = 11.9038461538462

Now round to the nearest hundredth.

y= 11.9

Now since we have a value for $\uptext{y}$ , we plug this into the first equation and find $\uptext{x}$ .

- 6 x + 119.03846153846153 = 80

Now we subtract 119.03846153846153 from each side.

- 6 x = -39.03846153846153

Now we divide by

x = 6.50641025641026

Now round to the nearest hundredth.

x= 6.51

Report an Error

View Tutors

Satweka
Certified Tutor

The University of Texas at Dallas, Master of Science, Biomedical Engineering.

View Tutors

Giles
Certified Tutor

Fourah Bay College, University of Sierra Leone, Bachelor in Arts, Physics.

View Tutors

Thuy-Thuong
Certified Tutor

Florida International University, Bachelor of Science, Health Services Administration. Florida State University, Bachelor of ...

All Common Core: High School - Algebra Resources

8 Diagnostic Tests 97 Practice Tests Question of the Day Flashcards Learn by Concept

Popular Subjects

Physics Tutors in Seattle, ISEE Tutors in Phoenix, Computer Science Tutors in Seattle, Biology Tutors in San Diego, ISEE Tutors in New York City, Calculus Tutors in Miami, LSAT Tutors in Washington DC, Computer Science Tutors in Dallas Fort Worth, SSAT Tutors in Houston, ACT Tutors in Atlanta

Popular Courses & Classes

GRE Courses & Classes in Miami, SAT Courses & Classes in Boston, Spanish Courses & Classes in Boston, GMAT Courses & Classes in Seattle, GRE Courses & Classes in New York City, ACT Courses & Classes in Miami, GMAT Courses & Classes in Los Angeles, SAT Courses & Classes in New York City, Spanish Courses & Classes in Seattle, SAT Courses & Classes in Miami

Popular Test Prep

SSAT Test Prep in Washington DC, GRE Test Prep in New York City, ACT Test Prep in Denver, LSAT Test Prep in San Francisco-Bay Area, ACT Test Prep in Miami, GMAT Test Prep in Chicago, MCAT Test Prep in Boston, SSAT Test Prep in Chicago, ISEE Test Prep in Los Angeles, GMAT Test Prep in San Francisco-Bay Area

DMCA Complaint

If you believe that content available by means of the Website (as defined in our Terms of Service) infringes one or more of your copyrights, please notify us by providing a written notice (“Infringement Notice”) containing the information described below to the designated agent listed below. If Varsity Tutors takes action in response to an Infringement Notice, it will make a good faith attempt to contact the party that made such content available by means of the most recent email address, if any, provided by such party to Varsity Tutors.

Your Infringement Notice may be forwarded to the party that made the content available or to third parties such as ChillingEffects.org.

Please be advised that you will be liable for damages (including costs and attorneys’ fees) if you materially misrepresent that a product or activity is infringing your copyrights. Thus, if you are not sure content located on or linked-to by the Website infringes your copyright, you should consider first contacting an attorney.

Please follow these steps to file a notice:

You must include the following:

A physical or electronic signature of the copyright owner or a person authorized to act on their behalf; An identification of the copyright claimed to have been infringed; A description of the nature and exact location of the content that you claim to infringe your copyright, in \ sufficient detail to permit Varsity Tutors to find and positively identify that content; for example we require a link to the specific question (not just the name of the question) that contains the content and a description of which specific portion of the question – an image, a link, the text, etc – your complaint refers to; Your name, address, telephone number and email address; and A statement by you: (a) that you believe in good faith that the use of the content that you claim to infringe your copyright is not authorized by law, or by the copyright owner or such owner’s agent; (b) that all of the information contained in your Infringement Notice is accurate, and (c) under penalty of perjury, that you are either the copyright owner or a person authorized to act on their behalf.

Send your complaint to our designated agent at:

Charles Cohn Varsity Tutors LLC
101 S. Hanley Rd, Suite 300
St. Louis, MO 63105

Or fill out the form below:

Do not fill in this field

Contact Information

* Full legal name

Company name

* Phone number

* Email address

Address

* Address1

Address2

* City

* State

* Zipcode

* Country

Complaint Details

* URL of copyrighted work (where your original material is located)

* Please describe the copyrighted work so that it may be easily identified

I am the owner, or an agent authorized to act on behalf of the owner of an exclusive right that is allegedly infringed.

I have a good faith belief that the use of the material in the manner complained of is not authorized by the copyright owner, its agent, or the law.

This notification is accurate.

I acknowledge that there may be adverse legal consequences for making false or bad faith allegations of copyright infringement by using this process.

* Signature (your digital signature is legally binding)

HIGH SCHOOL

GRADUATE SCHOOL

K-8

Search 50+ Tests

math tutoring

science tutoring

foreign languages

elementary tutoring

other

Search 350+ Subjects

Common Core: High School - Algebra : Solve System of Equations Using Substitution: CCSS.Math.Content.HSA-REI.C.5

Study concepts, example questions & explanations for Common Core: High School - Algebra

All Common Core: High School - Algebra Resources

Example Questions

Example Question #1 : Solve System Of Equations Using Substitution: Ccss.Math.Content.Hsa Rei.C.5

Example Question #2 : Solve System Of Equations Using Substitution: Ccss.Math.Content.Hsa Rei.C.5

Example Question #1 : Solve System Of Equations Using Substitution: Ccss.Math.Content.Hsa Rei.C.5

Example Question #2 : Solve System Of Equations Using Substitution: Ccss.Math.Content.Hsa Rei.C.5

Example Question #1 : Solve System Of Equations Using Substitution: Ccss.Math.Content.Hsa Rei.C.5

Example Question #2 : Solve System Of Equations Using Substitution: Ccss.Math.Content.Hsa Rei.C.5

Example Question #527 : High School: Algebra

Example Question #528 : High School: Algebra

Example Question #529 : High School: Algebra

Example Question #530 : High School: Algebra

All Common Core: High School - Algebra Resources

Report an issue with this question

DMCA Complaint

Contact Information

Address

Complaint Details

Email address:
Your name:
Feedback: