Solve the system of equations by any method.

11x + 8y = - 16

x=4y + 10

A. (4, 7 1/2)

B. (4, - 1 1/2)

C. (4/9, - 2 7/8)

D. (4/13, - 2 11/26)

The answer is C. (4/9, - 2 7/8)

I'll use substitution. I think that's the easiest.

11x + 8y = - 16

x = 4y + 10

Plug in: 11 (4y + 10) + 8y = - 16

Simplify: 44y + 110 + 8y = - 16

Simplify: 52y + 110 = - 16

Subtract from both sides: 52y = - 16 - 110

Simplify: 52y = - 126

Divide: y = - 126/52

Simplify: - 2.42 or - 2 and 11/26'

I could continue to solve for x, but we can see your options and D is the only one with this value for y.