Answer:
Multiplying the second equation by 2, we get:
4x + 6y = -20
Now we can subtract the first equation from this to eliminate x:
4x + 6y = -20
-(5x + 2y = -3)
-x + 4y = -17
Now we have one equation with only y. Solving for y:
-x + 4y = -17
4y = x - 17
y = (1/4)x - 17/4
Now we can substitute this expression for y into either equation to solve for x. Let's use the first equation:
5x + 2y = -3
5x + 2((1/4)x - 17/4) = -3
5x + (1/2)x - 17 = -3
(11/2)x = 14
x = 28/11
So the solution is (x,y) = (28/11, -17/11).
Explanation: