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

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All Common Core: High School - Algebra Resources

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Example Questions

Example Question #93 : Reasoning With Equations & Inequalities

Where do the following lines intersect?

y = 20 x + 63 and y = 39 x + 74

Possible Answers:

$\uptext{x}=-5$

${x=- \frac{11}{19}}$

${x=\frac{11}{19}}$

$\uptext{x}=6$

${x = - \frac{22}{19}}$

Correct answer:

${x=- \frac{11}{19}}$

Explanation:

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

20 x + 63 = 39 x + 74

20 x + 63-63=39 x + 74-63

20 x=39 x + 11

20 x-39 x=39 x + 11-39 x

- 19 x=11

$x=- \frac{11}{19}$

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Example Question #94 : Reasoning With Equations & Inequalities

Where do the following lines intersect?

y = 14 x - 90 and y = 18 x + 62

Possible Answers:

$\uptext{x}=-5$

{x = -76}

$\uptext{x}=6$

{x=-38}

{x=38}

Correct answer:

{x=-38}

Explanation:

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

14 x - 90 = 18 x + 62

14 x - 90+90=18 x + 62+90

14 x=18 x + 152

14 x-18 x=18 x + 152-18 x

- 4 x=152

x=-38

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Example Question #95 : Reasoning With Equations & Inequalities

Where do the following lines intersect?

y = 2 x + 3 and y = 28 x - 64

Possible Answers:

$\uptext{x}=-5$

$\uptext{x}=6$

${x = \frac{67}{13}}$

${x=- \frac{67}{26}}$

${x=\frac{67}{26}}$

Correct answer:

${x=\frac{67}{26}}$

Explanation:

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

2 x + 3 = 28 x - 64

2 x + 3-3=28 x - 64-3

2 x=28 x - 67

2 x-28 x=28 x - 67-28 x

- 26 x=-67

$x=\frac{67}{26}$

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Example Question #96 : Reasoning With Equations & Inequalities

Where do the following lines intersect?

y = 2 x + 62 and y = 19 x - 29

Possible Answers:

${x = \frac{182}{17}}$

${x=\frac{91}{17}}$

$\uptext{x}=-5$

$\uptext{x}=6$

${x=- \frac{91}{17}}$

Correct answer:

${x=\frac{91}{17}}$

Explanation:

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

2 x + 62 = 19 x - 29

2 x + 62-62=19 x - 29-62

2 x=19 x - 91

2 x-19 x=19 x - 91-19 x

- 17 x=-91

$x=\frac{91}{17}$

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Example Question #97 : Reasoning With Equations & Inequalities

Where do the following lines intersect?

y = 22 x - 37 and y = 48 x - 11

Possible Answers:

{x=-1}

$\uptext{x}=6$

{x = -2}

$\uptext{x}=-5$

{x=1}

Correct answer:

{x=-1}

Explanation:

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

22 x - 37 = 48 x - 11

22 x - 37+37=48 x - 11+37

22 x=48 x + 26

22 x-48 x=48 x + 26-48 x

- 26 x=26

x=-1

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Example Question #101 : Reasoning With Equations & Inequalities

Where do the following lines intersect?

y = 23 x + 86 and y = 14 x + 57

Possible Answers:

${x=- \frac{29}{9}}$

${x=\frac{29}{9}}$

$\uptext{x}=6$

${x = - \frac{58}{9}}$

$\uptext{x}=-5$

Correct answer:

${x=- \frac{29}{9}}$

Explanation:

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

23 x + 86 = 14 x + 57

23 x + 86-86=14 x + 57-86

23 x=14 x - 29

23 x-14 x=14 x - 29-14 x

9 x=-29

$x=- \frac{29}{9}$

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Example Question #102 : Reasoning With Equations & Inequalities

Where do the following lines intersect?

y = 42 x - 46 and y = 2 x - 86

Possible Answers:

$\uptext{x}=-5$

{x = -2}

{x=1}

{x=-1}

$\uptext{x}=6$

Correct answer:

{x=-1}

Explanation:

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

42 x - 46 = 2 x - 86

42 x - 46+46=2 x - 86+46

42 x=2 x - 40

42 x-2 x=2 x - 40-2 x

40 x=-40

x=-1

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Example Question #103 : Reasoning With Equations & Inequalities

Where do the following lines intersect?

y = 7 x + 3 and y = 40 x - 90

Possible Answers:

$\uptext{x}=-5$

${x=\frac{31}{11}}$

$\uptext{x}=6$

${x=- \frac{31}{11}}$

${x = \frac{62}{11}}$

Correct answer:

${x=\frac{31}{11}}$

Explanation:

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

7 x + 3 = 40 x - 90

7 x + 3-3=40 x - 90-3

7 x=40 x - 93

7 x-40 x=40 x - 93-40 x

- 33 x=-93

$x=\frac{31}{11}$

Report an Error

Example Question #21 : Solve Systems Of Linear Equations Exactly And Approximately: Ccss.Math.Content.Hsa Rei.C.6

Where do the following lines intersect?

y = 7 x - 35 and y = 31 x + 71

Possible Answers:

${x = - \frac{53}{6}}$

${x=- \frac{53}{12}}$

$\uptext{x}=6$

$\uptext{x}=-5$

${x=\frac{53}{12}}$

Correct answer:

${x=- \frac{53}{12}}$

Explanation:

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

7 x - 35 = 31 x + 71

7 x - 35+35=31 x + 71+35

7 x=31 x + 106

7 x-31 x=31 x + 106-31 x

- 24 x=106

$x=- \frac{53}{12}$

Report an Error

Example Question #22 : Solve Systems Of Linear Equations Exactly And Approximately: Ccss.Math.Content.Hsa Rei.C.6

Where do the following lines intersect?

y = 17 x - 31 and y = 42 x + 33

Possible Answers:

$\uptext{x}=6$

$\uptext{x}=-5$

${x = - \frac{128}{25}}$

${x=- \frac{64}{25}}$

${x=\frac{64}{25}}$

Correct answer:

${x=- \frac{64}{25}}$

Explanation:

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

17 x - 31 = 42 x + 33

17 x - 31+31=42 x + 33+31

17 x=42 x + 64

17 x-42 x=42 x + 64-42 x

- 25 x=64

$x=- \frac{64}{25}$

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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 #93 : Reasoning With Equations & Inequalities

Example Question #94 : Reasoning With Equations & Inequalities

Example Question #95 : Reasoning With Equations & Inequalities

Example Question #96 : Reasoning With Equations & Inequalities

Example Question #97 : Reasoning With Equations & Inequalities

Example Question #101 : Reasoning With Equations & Inequalities

Example Question #102 : Reasoning With Equations & Inequalities

Example Question #103 : Reasoning With Equations & Inequalities

Example Question #21 : Solve Systems Of Linear Equations Exactly And Approximately: Ccss.Math.Content.Hsa Rei.C.6

Example Question #22 : 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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