Answer:
x = -48, y = 25
Explanation:
Both equations have a 5y term, we can work with that.
Let's first convert them into 5y = ... form:
2x + 5y = 29 => 5y = 29 - 2x
3x + 5y = -19 => 5y = -3x - 19
Now we can equate the right-hand sides:
29 - 2x = -3x - 19
And simplify:
29 + 19 = -3x + 2x => x = -48
Let's put this x value in the first:
2*(-48) + 5y = 29 =>
-96 - 29 = -5y =>
-5y = -125 =>
y = 25