# Question #f47ec

##### 4 Answers

The key is to multiply one or both equations by values that will cause one variable to become zero.

#### Explanation:

In this example multiplying one of the equations by

When added they will equal

.Step

Step

Step

step

#### Explanation:

This means:

Now we substitute

We have:

Now we substitute

We can now substitute

#### Explanation:

The goal here is to solve for one variable by first eliminating one variable, hence, the elimination method.

Given:

We can eliminate the

This yields:

Now we solve for the variable

The next step is to find the value for the variable

We substitute

We now have the solutions

**Equation 1:**

**TRUE**

**Equation 2:**

**TRUE**

The values check out. The solution

You can learn more about this method here: http://www.montereyinstitute.org/courses/DevelopmentalMath/COURSE_TEXT2_RESOURCE/U14_L2_T2_text_final.html

#### Explanation:

The most important concept with the ELIMINATION method concerns ADDITIVE INVERSES.

Values which have the same number but opposite signs are called additive inverses. Their sum is

To eliminate one of the variables, create additive inverses.

Other contributors have eliminated

at the

Notice that the

Add the equations together:

That that you know the value for