Elimination. How do i solve this? x+2y=13 -x+y=5

Elimination. How do i solve this?

x+2y=13

-x+y=5

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Let's just add the equations together.......that will eliminate "x"

So we have

3y = 18      Divide both sides by 3 and we find that y = 6. Using either one of the equations - I'll pick the second one - substitute 6 for y to find x.  Thus, -x +6 = 5. Subtract 6 from both sides, and we get that -x = -1. Therefore, x = 1.

Make sure you check to see that both answers "work" in the first equation....I think they will...

I have no idea. I'm a painter.

x=y-5

(y-5) + 2y=13

3y=18

y=18/3=6

x+12=13, so x=13-12

x=1

y=6

Hi anonymous,

You have solve the queston but you have done it by substitution. 

The question stipulated 'elimination method'.

But I am really glad that you answered.  I like people to get involved.   

Glad to see Anonymous involved, too!!

Good to see another method presented........and a "rebel" spirit

He/She does NOT follow the motto, "Eliminate the substitution and substitute the elimination !!"