Question

Would 2x-3y=8
-5x+2y=13 give me -5 for the x coordinate?

Answer 1

\[2x-3y=8[1]\]
\[-5x+2y=13[2]\]
\[[1]\times 2\]
\[2(2x-3y)=2(8)\]
\[4x-6y=16[3]\]
\[[2]\times 3\]
\[3(-5x+2y)=3(13)\]
\[-15x+6y=39[4]\]
\[[3]+[4]\]
\[(4x-6y)+(-15x+6y)=(16)+(39)\]
\[4x-15x=55\]
\[-11x=55\]
\[x=-5\]
So yes, you're correct.

Answer 2

Thank you so much!

Answer 3

No worries.