What is the solution to this system of equations? x 4y = 1 2x - 3y = -9 (2, -8) (-3, 1) no solution infinitely many solutions

If you would like to solve the system of equations, you can do this using the following steps:

x + 4y = 1 ... x = 1 - 4y
2x - 3y = -9

2x - 3y = -9
2 * (1 - 4y) - 3y = -9
2 - 8y - 3y = -9
2 + 9 = 8y + 3y
11 = 11y
y = 1

x = 1 - 4y = 1 - 4 * 1 = 1 - 4 = -3

(x, y) = (-3, 1)

The correct result would be (-3, 1).