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

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

Revolt · Accepted Answer

2x + 3(3x – 5) = 51

Question 3

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

Revolt · Accepted Answer

6

Question 4

The complete solution to the system is: (, )

Revolt · Accepted Answer

Part 1: 6; Part 2: 13

Question 5

Question 5

Revolt · Accepted Answer

13

Question 6

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

Revolt · Accepted Answer

3x - 5

Question 7

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 8

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

Revolt · Accepted Answer

3; -8

Question 9

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.

Question 10

5x - 2y = 152x + 4y = 12According to the strategy you learned in this lesson, what is the best first step in solving the system of equations above using substitution?

Revolt · Accepted Answer

Solve for x in the second equation.

Solving Linear Systems by Substitution Answers

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