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Common Core: High School - Algebra : Solve Systems of Linear Equations Exactly and Approximately: CCSS.Math.Content.HSA-REI.C.6

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

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All Common Core: High School - Algebra Resources

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Example Questions

Example Question #561 : High School: Algebra

Where do the following lines intersect?

y = 44 x + 18 and y = 5 x + 34

Possible Answers:

$\uptext{x}=-5$

${x=\frac{16}{39}}$

$\uptext{x}=6$

${x=- \frac{16}{39}}$

${x = \frac{32}{39}}$

Correct answer:

${x=\frac{16}{39}}$

Explanation:

In order to figure out this problem, we need to set each of the equations equal to each other, and solve for $\uptext{x}$ .

44 x + 18 = 5 x + 34

44 x + 18-18=5 x + 34-18

44 x=5 x + 16

44 x-5 x=5 x + 16-5 x

39 x=16

$x=\frac{16}{39}$

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Example Question #107 : Reasoning With Equations & Inequalities

Where do the following lines intersect?

y = 45 x - 35 and y = 15 x - 58

Possible Answers:

${x = - \frac{23}{15}}$

${x=- \frac{23}{30}}$

$\uptext{x}=-5$

${x=\frac{23}{30}}$

$\uptext{x}=6$

Correct answer:

${x=- \frac{23}{30}}$

Explanation:

In order to figure out this problem, we need to set each of the equations equal to each other, and solve for $\uptext{x}$ .

45 x - 35 = 15 x - 58

45 x - 35+35=15 x - 58+35

45 x=15 x - 23

45 x-15 x=15 x - 23-15 x

30 x=-23

$x=- \frac{23}{30}$

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Example Question #108 : Reasoning With Equations & Inequalities

Where do the following lines intersect?

y = 4 x + 93 and y = 34 x - 68

Possible Answers:

${x=- \frac{161}{30}}$

$\uptext{x}=6$

$\uptext{x}=-5$

${x=\frac{161}{30}}$

${x = \frac{161}{15}}$

Correct answer:

${x=\frac{161}{30}}$

Explanation:

In order to figure out this problem, we need to set each of the equations equal to each other, and solve for $\uptext{x}$ .

4 x + 93 = 34 x - 68

4 x + 93-93=34 x - 68-93

4 x=34 x - 161

4 x-34 x=34 x - 161-34 x

- 30 x=-161

$x=\frac{161}{30}$

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Example Question #109 : Reasoning With Equations & Inequalities

Where do the following lines intersect?

y = 49 x + 81 and y = 13 x + 75

Possible Answers:

${x = - \frac{1}{3}}$

${x=- \frac{1}{6}}$

$\uptext{x}=-5$

$\uptext{x}=6$

${x=\frac{1}{6}}$

Correct answer:

${x=- \frac{1}{6}}$

Explanation:

In order to figure out this problem, we need to set each of the equations equal to each other, and solve for $\uptext{x}$ .

49 x + 81 = 13 x + 75

49 x + 81-81=13 x + 75-81

49 x=13 x - 6

49 x-13 x=13 x - 6-13 x

36 x=-6

$x=- \frac{1}{6}$

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Example Question #110 : Reasoning With Equations & Inequalities

Where do the following lines intersect?

y = 16 x + 57 and y = 23 x - 24

Possible Answers:

${x = \frac{162}{7}}$

${x=- \frac{81}{7}}$

$\uptext{x}=-5$

${x=\frac{81}{7}}$

$\uptext{x}=6$

Correct answer:

${x=\frac{81}{7}}$

Explanation:

In order to figure out this problem, we need to set each of the equations equal to each other, and solve for $\uptext{x}$ .

16 x + 57 = 23 x - 24

16 x + 57-57=23 x - 24-57

16 x=23 x - 81

16 x-23 x=23 x - 81-23 x

- 7 x=-81

$x=\frac{81}{7}$

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Example Question #31 : Solve Systems Of Linear Equations Exactly And Approximately: Ccss.Math.Content.Hsa Rei.C.6

What is the x-coordinate where the following lines intersect?

y = x + 35 and y = 22 x + 25

Possible Answers:

$x = \frac{20}{21}$

$x = - \frac{10}{21}$

x = -5

$x = \frac{10}{21}$

x = 6

Correct answer:

$x = \frac{10}{21}$

Explanation:

In order to figure out this problem, we need to set each of the equations equal to each other, and solve for $\uptext{x}$ .

x + 35 = 22 x + 25

x + 35 - 35 = 22 x + 25 - 35

x = 22 x - 10

x - 22 x = 22 x - 10 - 22 x

- 21 x = -10

$x = \frac{10}{21}$

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All Common Core: High School - Algebra Resources

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Common Core: High School - Algebra : Solve Systems of Linear Equations Exactly and Approximately: CCSS.Math.Content.HSA-REI.C.6

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

All Common Core: High School - Algebra Resources

Example Questions

Example Question #561 : High School: Algebra

Example Question #107 : Reasoning With Equations & Inequalities

Example Question #108 : Reasoning With Equations & Inequalities

Example Question #109 : Reasoning With Equations & Inequalities

Example Question #110 : Reasoning With Equations & Inequalities

Example Question #31 : Solve Systems Of Linear Equations Exactly And Approximately: Ccss.Math.Content.Hsa Rei.C.6

All Common Core: High School - Algebra Resources

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