Solve the system of equations.

5x+2y=14
x−6y=22(1 point)

1 answer

To solve the system of equations, we can use the method of substitution. Solving the second equation for x, we get x = 6y + 22. We can substitute this expression for x in the first equation, getting:

5(6y+22) + 2y = 14

Simplifying and solving for y, we get:

30y + 110 + 2y = 14

32y = -96

y = -3

Substituting this value of y in the second equation, we get:

x − 6(-3) = 22

x = 4

Therefore, the solution to the system of equations is (x, y) = (4, -3).