# How do you solve a system of equations by using the elimination method?

##### 1 Answer

Aug 16, 2015

You follow a sequence of steps.

In general, the steps are:

- Enter the equations.
- Multiply each equation by a number to get the lowest common multiple for one of the variables.
- Add or subtract the two equations to eliminate that variable .
- Substitute that variable into one of the equations and solve for the other variable.
- Check by substituting your answer into one of the equations,

**EXAMPLE:**

How do you use the elimination method to solve

**Solution:**

**Step 1.** Enter the equations.

**[1]**

**[2]**

**Step 2.** Find the lowest common multiple.

Multiply Equation 1 by

**[3]**

**[4]**

**Step 3.** Subtract Equation 4 from Equation 3.

**[5]**

**Step 4.** Substitute Equation 5 in Equation 1.

**Check:** Substitute the values of

If you use one equation to get the second variable, use the other equation for the check.

It checks!

The solution is correct.