Solve the system equation
5× + 2y = 14
× - 6y =22
To solve this system of equations, we can use the substitution method.
First, solve the second equation for x:
x - 6y = 22
x = 6y + 22
Now 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 one of the original equations to solve for x. Let's use the second equation:
x - 6(-3) = 22
x + 18 = 22
x = 4
Therefore, the solution to the system of equations is x = 4 and y = -3.