Question

−3y−4x=−11
3y−5x=−61
Solve the system of equations.
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Answer 1

`x = 8\\y=-7`

Explanation:

`-3y-4x=-11\\3y-5x=-61`

In order to eliminate one of the variables you can add both equations.

`-9x=-72\\x=(-72)/(-9) \\x=8`

Replace in one of the main equations to find y

`3y-5x=-61\\3y-5(8)=-61\\3y-40=-61\\3y=-61+40\\3y=-21\\y=(-21)/(3) \\y=-7`

Replace in one of the main equations to prove that your answers are correct.

`-3y-4x=-11\\-3(-7)-4(8)=-11\\21-32=-11\\-11=-11`