Solve the system of equations.

Question

5x+2y=14

x−6y=22(1 point)

Answer 1

To solve the system of equations, we can use the method of substitution.

From the second equation, we have x = 6y + 22.

Now, we can substitute x = 6y + 22 into the first equation:

5(6y + 22) + 2y = 14
30y + 110 + 2y = 14
32y + 110 = 14
32y = -96
y = -3

Now, we can substitute y = -3 back into x = 6y + 22:

x = 6(-3) + 22
x = -18 + 22
x = 4

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