Question 150039
1.{{{3x-y=10}}} 
2.{{{-x+y=-4}}}
Multiply eq. 2 by 3, 
2.{{{3(-x+y)=3(-4)}}}
2.{{{-3x+3y=-12}}}
Add to eq. 1 and have an equation in only y.
{{{3x-y+(-3x+3y)=10-12}}}
{{{2y=-2}}}
{{{y=-1}}}
Use eq. 2 to solve for x.
2.{{{-x+y=-4}}}
{{{-x-1=-4}}}
{{{-x=-3}}}
{{{x=3}}}
.
.
.
({{{x}}},{{{y}}})=({{{3}}},{{{-1}}})
with graphic proof of the intersection.
{{{ graph( 300, 300, -5, 5, -5, 5, -4+x, 3x-10) }}}