Find answers to your questions and expand your knowledge with IDNLearn.com. Discover prompt and accurate answers from our community of experienced professionals.

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)


Sagot :

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.