Question

Solve the system of equations.
–x+6y=13

4x–10y=–10

Answer 1

Solve for x from the first equation: -x + 6y = 13 ⇒ x = 6y - 13.

Substitute into the second equation:
4(6y - 13) - 10y = -10
24y - 52 - 10y = -10
14y = 42
y = 3.

Then x = 6(3) - 13 = 18 - 13 = 5.

Solution: x = 5, y = 3.