-5x+4y=2
9x-4y=6
eliminate the 4y as a positive 4 + negative 4 =0
this will leave you with
-5x=2
9x=6
add them
4x=8
divide both sides by 4
x=2
to find y, plug in x=2 for any one of the original equations
-5(2)+4y=2
-10+4y=2
add 10 to both sides
4y=12
divide both sides by 4
y=3
the final answer is (2,3)