Solve the system of equations.

Question

5x + 2y = 14
x - 6y = 22 (1 point)

Answer 1

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

First, let's solve for x in terms of y from the second equation:
x - 6y = 22
x = 6y + 22

Now we substitute this expression for x into the first equation:
5(6y + 22) + 2y = 14
30y + 110 + 2y = 14
32y + 110 = 14
32y = -96
y = -3

Now that we have found the value of y, we can substitute it back into the expression for x:
x = 6(-3) + 22
x = -18 + 22
x = 4

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