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

-7x+6y=-10x-6y=22

Short Answer

Expert verified

The solution of the system is(x,y)=(-2,-4).

Step by step solution

01

Step 1. Given Information

The given system is-7x+6y=-10x-6y=22

02

Step 2. Solve for x

-7x+6y=-10x-6y=22Given

Add both equations

-7x+6y=-10x-6y=22-6x=12x=-126x=-2

03

Step 3. Solve for y

x-6y=22econdequation-2-6y=22-6y=22+2-6y=24y=-246y=-4

Hence,(x,y)=(-2,-4)

04

Step 4. Verify the solution

-7x+6y=-10⇒-7(-2)+6(-4)=-1014-24=-10-10=-10truex-6y=22⇒-2-6(-4)=22-2+24=2222=22true

Hence, the solution is(x,y)=(-2,-4).

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