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Chapter 5: Q. 130 (page 626)

In the following exercises, solve the systems of equations by elimination.

x+y=-1x-y=-5

Short Answer

Expert verified

The solution of the system is (x,y)=(-3,2).

Step by step solution

01

Step 1. Given information 

The given system isx+y=-1x-y=-5

02

Step 1. Solve for x

x+y=-1x-y=-5Given

Add both equations

x+y=-1x-y=-52x=-6x=-62x=-3

03

Step 3. Solve for y

x+y=-1firstequation-3+y=-1Usex=-3y=-1+3y=2

Hence,(x,y)=(-3,2).

04

Step 4. Verify the solution

x+y=-1鈬�-3+2=-1-1=-1truex-y=-5鈬�-3-2=-5-5=-5true

Hence, the solution(x,y)=(-3,2).

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