Step-by-step explanation:
2x + 5y = 1 and -3x + 4y = -13
From equation 1, 2x = 1 - 5y, x = 0.5 - 2.5y.
Substitute into equation 2:
-3(0.5 - 2.5y) + 4y = -13
-1.5 + 7.5y + 4y = -13
11.5y = -11.5
y = -1.
We know that x = 0.5 - 2.5y = 0.5 - 2.5(-1) = 3
Hence x = 3, y = -1.