Question

solve the system of equations.
5x + 2y = 14
x - 6y = 22

Answer 1

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

First, we can solve the second equation for x:
x = 22 + 6y

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

Now that we have found y, we can substitute it back into the second equation to solve for x:
x - 6(-3) = 22
x + 18 = 22
x = 4

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