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

–x + 2y = 6
6y = x + 18

Question

For the following system of equations, what is the x-value of the solution?

–x + 2y = 6
6y = x + 18

anonymous · Answer

8 for the first one

anonymous · Answer

thanks

abb0t · Answer

divide the second equation by 6 to get your Y. 
substitute and solve for x. 
Which someone has apparently already found for you. But you might want to do the work just to see how it was done and whether their answer matches yours. Cheers.

anonymous · Answer

but there's something in the directions of substituting the y in the second equation for the y= in the first one

abb0t · Answer

$$y = \frac{ x }{ 6 }+\frac{ 18 }{ 6 } = \frac{ x }{ 6 } + 3 $$

anonymous · Answer

how'd you get that?

abb0t · Answer

I divided the 2nd equation by 6 to get y by itself so that I could use that "y" function to substitute to the top. 

That way, you just plug in your 2nd equation (which is composed of ONLY x's) to solve for x. Remember that you can combine like terms.

anonymous · Answer

so i then subtract the 3 and then multiply both sides by 6?

anonymous · Answer

and get -18 as my answer

abb0t · Answer

x should be:
$$\frac{ 9 }{ 2 }$$

abb0t · Answer

$$-x + 2(\frac{ x }{ 6 } + 3) = 6$$