Question

Identify the solution(s) of the system of equations, if any.

3x-2y=6
5x=5-25y

A) (28/13, 3/13)

B) (-3/17, 32/17)

C) (32/17, -3/17)

D) (32/9, 7/3)


I think the answer is D but i did my check and still comes out incorrect

Answer 1

It's C.

You solve the bottom equation for x, then you plug that into where the x is on the top equation.

3(1-5y)-2y=6

Solve for y, and then for x

Answer 2

change 2nd equation by dividing by 5
x = 1 - 5y
sub into the 1st

3(1-5y) - 2y = 6
3 - 15y - 2y = 6
-17y = 3
y = -3/17

Without even going further, the only one that has that y value is C)

I will leave it up to you to check that the x is correct by subbing my answer back into x = 1 - 5y

Answer 3

All you do to check x is to take the y answer and plug it into the top equation and solve for x

Answer 4

Thank you Kimmy!!

Answer 5

You are welcome!