Question

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

Answer 1

Answer:

$x = 8\\y=-7$

Step-by-step explanation:

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

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

$-9x=-72\\x=\frac{-72}{-9} \\x=8$

Replace in one of the main equations to find y

$3y-5x=-61\\3y-5(8)=-61\\3y-40=-61\\3y=-61+40\\3y=-21\\y=\frac{-21}{3} \\y=-7$

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

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