**Solve the system using the elimination method**:

**Step 1**: Multiply one or both of the equations by factors that will line up one variable to eliminate.

**Step 2**: Add the equations together.

**Step 3**: Back substitute and present the answer as an ordered pair.

**Tip**: If you multiply an equation by any number - remember to distribute!

**Solve the system using the elimination method**:

*y*, multiply the first equation by 3 and the second equation by 2.

You will always have to back substitute to find the value of the other coordinate.

**Solve the systems using the elimination method**:

**Clearing Fractions**: If we are given an equation with fractional coefficients, we can clear them out by multiplying both sides by a common multiple of the denominator. This is a handy technique which we will use often in our study of Algebra. Do not abuse this, as it only works on equations and not expressions.

**Solve the systems using the elimination method**.

**Video Examples on YouTube**: