Question

For the following system of equations, what is the x-value of the solution?

-x+2y=6
6y=x+18

A) -18
B) 0
C) -6
D) 3

Answer 1

the answer is 3 for both

Answer 2

The answer is the option B

`x=0`

Explanation:

we have

`-x+2y=6` -----> equation A

`6y=x+18` ------> rewrite ---->
`x+18=6y` -----> equation B

Adds equation A and equation B

`-x+2y=6\\x+18=6y\\----------\\2y+18=6+6y\\6y-2y=18-6\\4y=12\\y=3`

Find the value of x

`-x+2y=6` ------> substitute the value of y and solve for x

`-x+2(3)=6`

`x=0`