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

Use the substitution method. Solve for one variable from one equation and plug the equation of the same variable into the other equation.

Answer 2

Clear?

Answer 3

-x+2y=6 <--i'll choose this equation and i will solve for y
6y= x+18

\(\Large -x+2y=6\)
add x to both sides
\(\Large -x+x+2y=6+x\)
\(\Large 2y=6+x\)
divide everything by 2
\(\Large(\frac{1}{2}) 2y=(\frac{1}{2})(6+x)\)
\(\Large y=3+ \frac{1}{2}x\)
Plug what we have for the equation for y into the y in this equation 6y= x+18

Answer 4

So b then. I got 2x=0 so it would be x=0. Right?

Answer 5

I did 0. it was right. Thank you!