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Chapter 5: Q. 71 (page 611)

In the following exercises, solve the systems of equations by substitution.
2x+y=−43x−2y=−6

Short Answer

Expert verified

The solution set is (-2,0).

Step by step solution

01

Step 1. Given Information

In the following exercises, we have to solve the systems of equations by substitution.
2x+y=−43x−2y=−6

02

Step 2. Solving the equation 2x+y=−4 for the variable y.

Subtract2xonbothside2x+y-2x=−4-2xy=−4-2x

03

Step 3. Putting the value of y in the equation 3x−2y=−6.

3x-2(−4-2x)=-63x+8+4x=-67x+8=-6Subtract8onbothside7x+8-8=-6-87x=-14Divideby7onbothside77x=-147x=-2

04

Step 4. Putting the value of x in the equation y=−4-2x.

y=−4-2(-2)y=-4+4y=0

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