Question 1205725
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Notice the 8x terms are in common to both equations.
This will allow us to subtract the equations straight down to eliminate the x terms entirely.
The y terms subtract to -11y.
The right hand sides subtract to 11.


We end up with -11y = 11 that solves to y = -1.


Then use that y value to find x.
Let's say we plugged it into the 1st equation.
8x - 6y = -2
8x - 6(-1) = -2
8x + 6 = -2
8x = -2-6
8x = -8
x = -8/8
x = -1


Or we could pick on the 2nd equation instead.
8x+5y = -13
8x+5(-1) = -13
8x-5 = -13
8x = -13+5
8x = -8
x = -8/8
x = -1


The answer as an ordered pair is <font color=red size=4>(x,y) = (-1,-1)</font>
This is where the two lines intersect.
A graphing tool like Desmos can be used to confirm. GeoGebra is another recommended tool.


Another way to check is to plug x = -1 and y = -1 into each original equation. Then simplify. 
You should get the same number on both sides. 
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