5x+4y=-2
3x+4y=10
Make one with negative coefficient to find first what is x then solve for y .
-1(5x+4y)= -1 (-2)
3x+4y=10
-5x-4y=2
+ 3x+4y=10
_________
-x = 12
Divide both sides by -2
-2x/-2=12/-2
X= -6
Now substitute your x into one of the equations to find y .
-5x-4y=2
-5(-6)+4y=2
30+4y=2
Subtract 30 both sides
-4y= 2-30
Divide both sides by -4
Y= -28/-4
Y= 7
Your answer is in point form (-6,7) meaning x is -6 and y is 7.
