Question

What is the solution of the system? Use substitution.

-4y - 3x = -11
x-2y = 17

A. (-9,-4)
B. (9,4)
C. (9,-4)
D. (-9,4)

Answer 1

C) (x,y)=(9,-4)

Explanation:

-4y - 3x = -11

x-2y = 17

-4y - 3x = -11

x = 17+2y

-4y - 3(17+2y) = -11

x = 17+2y

-4y-51-6y=-11

x = 17+2y

-10y=-11+51

x = 17+2y

-10y=40

x = 17+2y

y=40/(-10)

x = 17+2y

y=-4

x = 17+2(-4)

y=-4

x=17-8

y=-4

x=9

(x,y)=(9,-4)