Question 962420
We have

3x + 5y + (2x -4y) = 24 + 14 (#2 + #1)
5x + y = 38
y = 38 - 5x

Substitute back into one of the original equations (#1 or #2, it doesn't matter; I will substitute into #2), to get

3x + 5y = 14
3x + 5(38 - 5x) = 14
3x + 190 - 25x = 14
190 - 22x = 14
22x = 176
x = 8

Now do one final substitution to get the value of y.

y = 38 - 5x
y = 38 - 5(8)
y = -2

Your solution is x = 8, y = -2.