Solving Linear Systems by Substitution

Question 1

Solve the following linear system of equations using substitution.y = 3x – 5y = 2x – 6

Revolt · Accepted Answer

(–1, –8)

Question 2

Solving the equation 2x + 3(3x – 5) = 51for x gives x = .

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6

Question 3

Question 3

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6; 13

Question 4

Which choice shows the result of substituting 3x – 5 into the second equation for y?

Revolt · Accepted Answer

2x + 3(3x – 5) = 51

Question 5

6x – 2y = 102x + 3y = 51Solving the first equation above for y gives: y = ⇒ 3x – 5

Revolt · Accepted Answer

PENDING

Question 6

Question 6

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6; 13

Question 7

The correct solution is

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3; -8

Question 8

Marta tried solve the system below, but she made a mistake. Read carefully and try to figure out what her mistake was.

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3; -8

Question 9

What was Marta’s mistake? Explain.

Revolt · Accepted Answer

Marta solved for y in the first equation and then substituted that expression back into the same equation instead of substituting it into the other equation. To solve a system by substitution, you must substitute the expression into the second equation to find the value of the other variable.

Question 10

How did your response compare to the sample response?My response was very similar.My response was somewhat similar.I was wrong, but I understand now.

Revolt · Accepted Answer

My response was very similar.

Solving Linear Systems by Substitution Answers

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