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91Ó°ÊÓ

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

Short Answer

Expert verified

The solution of the system is(x,y)=(-7,-1).

Step by step solution

01

Step 1. Given information 

The given system isx+y=-8x-y=-6

02

Step 2. Solve for x

x+y=-8x-y=-6Given

Add both equations

x+y=-8x-y=-62x=-14x=-142x=-7

03

Step 3. Solve for y

x+y=-8firstequation-7+y=-8Usex=-7y=-8+7y=-1

Hence,(x,y)=(-7,-1).

04

Step 4. Verify the solution

x+y=-8⇒-7-1=-8-8=-8truex-y=-6⇒-7-(-1)=-6-7+1=-6-6=-6true

Hence, the solution is(x,y)=(-7,-1).

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