February 24, 2021

### Solving Systems of Equations by the Elimination Method

## 1

Prepare the two equations and multiply by the appropriate numbers in order to eliminate one of the unknown values.

## 2

Add the systems and eliminate one of the unknowns.

## 3

Solve the resulting equation.

## 4

Substitute the value obtained into one of the initial equations and then solve.

## 5

The two values obtained are the solution of the system.

The easiest method is to remove the * y*, this way the equations do not have to be prepared. However, by choosing to remove the

*, the process can be seen better.*

**x**Add and solve the equation:

Replace the value of * y* in any of the equations, we are replacing in the second equation.

Solution:

Adding both equations:

Replacing the value of y in the first equation:

Solution:

Adding both equations

Replacing the value of x in the first equation:

Adding both equations:

Plugging the value of y in the first equation:

Adding both equations:

Replacing the value of y in the third equation:

Adding both equations:

Replacing the value of y in the third equation: