Q:

Find the solution to the system of equations given below using substitution. A. x = -1, y = -7 B. x = 7, y = -1 C. x = 7, y = 1 D. x = -1, y = 7

Accepted Solution

A:
Answer: OPTION DStep-by-step explanation: You can apply the SUBSTITUTION method:- Solve for x from the second equation and substitute it into the first equation. - Solve for y: [tex]x-8y=-57\\x=-57+8y[/tex] [tex]2(-57+8y)+3y=19\\-114+16y+3y=19\\19y=133\\y=7[/tex] - Substitute y=7 into any of the original equations ans solve for x. Then: [tex]x-8(7)=-57\\x-56=-57\\x=-57+56\\x=-1[/tex]