Question

Solve the system of equations by the substitution method. If the system does not have a single ordered pair as a solution, state whether the system is inconsistent or dependent. x + 3y = 32 -3x + 2y = 3

A. (4, 10)

B. No solution; inconsistent

C. (5, 9)

D. (-5, 10)

Answer 1

first solve x + 3y = 32 for x

x + 3y = 32

x = 32 - 3y

then plug this into -3x + 2y = 3

-3x + 2y = 3

-3(32 - 3y) + 2y = 3 ... plug in x = 32 - 3y

-96 + 9y + 2y = 3

11y - 96 = 3

I'll let you finish up. You need to solve that for y. Once you've done that, you use the value of y to find x

Answer 2

tell me what you get

Answer 3

c?

Answer 4

correct, nice work