Question

Solve.

-6x - 4y = -32
-2x + 7y = 6

A. (5, 3)

B. (5, 2)

C. (4, 3)

D. (4, 2)

Answer 1

D

Explanation:

-6x=4y-32

x=(2(2y-16))/-6

x=(2y-16)/-3

x=(-2/3)*y+16/3

solve for y:

-2((-2/3)*y+16/3)+7y=6

(4/3)y+21/3y+(-32/3)=18/3

(25/3)y=(18+32)/3

(25/3)y=50/3

25y=50

y = 2

solve for x:

-6x - 4y = -32

-6x - 8 = -32

-6x = -24

x = 4

answer: (4, 2)