Solve the second equation for y.
2y - 3x = 5
2y = 3x + 5
y = 3x/2 + 5/2
Now substitute into the first equation.
2(3x/2 + 5/2) + 5x = 13
3x + 5 + 5x = 13
8x = 8
x = 1
Substitute x = 1 into the first equation of the system.
2y + 5x = 13
2y + 5(1) = 13
2y = 8
y = 4
Solution: (1, 4)
Answer is C.
