**Solve the system using the substitution method**:

**Step 1**: Use either equation and solve for a variable.

In this case, we solved the first equation for

*y*.**Step 2**: Substitute the resulting quantity into the other equation.

Here we substituted the quantity found for y into the second equation.

**Step 3**: Solve for the remaining variable.

**Step 4**: Back substitute to find the value for the other variable.

**Step 5**: Present your answer as an ordered pair (

*x*,

*y*).

It does not matter if you choose to solve for

*x*or*y*first. However, make sure that you do not substitute into the same equation in step 2.**Instructional Video**: Solving Systems of Equations using Substitution

**Solve the system using the substitution method**:

Solve for

*y*in the first equation.

Any true statement, including 0 = 0, indicates a dependent system.

The next system consists of two parallel lines which has no simultaneous solution.

**Solve the system using the substitution method**:

Solve for

*x*in the first equation.

Any false statement indicates an inconsistent system.

**Solve the systems using the substitution method**.

**Typical word problem**: When Joe walked away from the craps table he had 45 chips. He had a combination of $5 and $25 chips that added to a total of $625. How many of each chip did he have?

Set up a system of two linear equations.

Solve the system.

**Answer**: Joe had 25 five-dollar chips and 20 twenty-five dollar chips.

**Video Examples on YouTube**:

## No comments:

## Post a Comment