Question 455274
To use the elimination method, we either subtract or add the two equations to eliminate a variable.  A variable is eliminated if it has a coefficient of 0.
For this problem, we can add the two equations to eliminate y, since 2+(-2)=0
 (5x+2y=-3)
+(4x-2y=-6)
9x+0y=-9
9x=-9
x=-1  Divide both sides by 9 to isolate the x.
To solve for y, substitute x into any of the original equations and solve for y.
5(-1)+2y=-3
-5+2y=-3
2y=2   Add 5 to both sides
y=1  Divide both sides by 2

Thus your answer is (-1,1)