Question

Can you help me solve this problem using elimination?

Answer 1

Answer:

$(5,5)$

Step-by-step explanation:

$\left \{ {{-8x+7y=-5} \atop {-4x+8y=20}} \right.$

$\left \{ {{-64x+56y=-40} \atop {28x-56y=-140}} \right.$ <-- Multiply top by 8 and bottom by -7 so y can be cancelled out

$-36x=-180$

$x=5$

$-4x+8y=20$

$-4(5)+8y=20$

$-20+8y=20$

$8y=40$

$y=5$

Therefore, the solution to the system of equations is $(5,5)$