Explanation:
the funny thing with equations is we can transform them (as long as we do every operation in both sides), and we can even add them up or subtract from each other to get new equations that are maybe simpler to solve.
to eliminate x i would recommend to multiply the first equation by 4, and the second equation by 5 and then subtract equation 2 from equation 1 (comparable term by comparable term).
5x - 2y = 10
4x - 3y = 15
would then turn into
20x - 8y = 40
- 20x - 15y = 75
------------------------
0 7y = -35
y = -35/7 = -5
now we can pick any original equation to solve for x.
e.g.
5x - 2×-5 = 10
5x + 10 = 10
5x = 0
x = 0