Question 161196
1.{{{5x+2y= -11}}}
2.{{{7x-3y=19}}}
Multiply eq. 1 by 3 and eq. 2 by 2 and add them together.
You can then solve for x.
{{{3(5x+2y)+2(7x-3y)=3(-11)+2(19)}}}
{{{15x+6y+14x-6y=-33+38}}}
{{{29x=5}}}
{{{highlight(x=5/29)}}}
From eq. 1,
{{{5x+2y=-11}}}
{{{5(5/29)+2y=-11}}}
{{{25/29+2y=-11}}}
{{{2y=-11(29/29)-25/29}}}
{{{2y=-344/29}}}
{{{highlight(y=-172/29)}}}
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Go back and check the answers to make sure they solve the equation.
They do, but verify so you're sure.