Question 166994
1.{{{5x+5y=-11}}}
2.{{{7x-3y=19}}}
Let's get rid of y.
Multiply eq. 1 by 3 and eq. 2 by 5 and add them together.
{{{3(5x+5y)+5(7x-3y)=3*(-11)+5(19)}}}
{{{15x+15y+35x-15y=-33+95}}}
{{{50x=62}}}
{{{highlight(x=62/50=31/25)}}}
From 1, 
1.{{{5x+5y=-11}}}
{{{5(31/25)+5y=-11}}}
{{{5y=-11-155/25}}}
{{{5y=-275/25-155/25}}}
{{{5y=-430/25=-86/5}}}
{{{highlight(y=-86/25)}}}
.
.
.
Let’s graph the equations to verify the solution.
The two lines are
{{{y=-((5x+11))/5}}}
and
{{{y=(7x-19)/3}}}

The solution is (1.24,-3.44)
{{{drawing( 300, 300, -2, 5, -5, 2,grid( 1 ),circle( 1.24, -3.44, .1 ), graph( 300, 300, -2, 5, -5, 2, (-11-5x)/5, (7x-19)/3)) }}}