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 solve it using the method of substitution:

From the second equation, we can express x in terms of y:

x = 6y + 22

Now substitute x in 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 find x:

x − 6(-3) = 22
x + 18 = 22
x = 4

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