2y - 5x = 7
4x + 3y + 24 = 0
.
-5x + 2y = 7
4x + 3y = -24
.
4x + 3y = 24
x + (3/4)y = 6
x = (-3/4)y + 6
-5x + 2y = 7
-5( (-3/4)y + 6) + 2y = 7
(15/4)y - 30 + (8/4)y = 7
(23/4)y = 37
y = 37 (4/23)
y = 148/23
x = (-3/4)y + 6
x = (-3/4)(148/23) + 6
x = (-3/1)(37/23) + 6
x = -111/23 + 138/23
x = 27/23
Answer: x = 27/23, y = 148/23