Solve the system of equations by using substitution.
x+8y=-2
x-3y=20

(14, -2)

Step-by-step explanation:

To solve by using substitution, begin by solving for a variable in the first equation. Let's solve for x:

Now we know what x equals. Let's substitute this into the second equation:

We can then simplify:

Given equation

Combine y terms

Add 2

Divide by -11

So, we now know the value of y = -2.

To find the value of X, we can substitute the value of Y into one of the equations. Let's use the first one:

Substitute for y

Distribute 8

Add 16

So, we now know the value of x = 14.

Therefore, we know a solution to the system of equations is (14, -2).