# Precalculus Examples

,

Step 1

Multiply each equation by the value that makes the coefficients of opposite.

Simplify.

Simplify the left side.

Simplify .

Apply the distributive property.

Rewrite as .

Multiply .

Multiply by .

Multiply by .

Simplify the right side.

Multiply by .

Add the two equations together to eliminate from the system.

Divide each term in by and simplify.

Divide each term in by .

Simplify the left side.

Cancel the common factor of .

Cancel the common factor.

Divide by .

Simplify the right side.

Divide by .

Substitute the value found for into one of the original equations, then solve for .

Substitute the value found for into one of the original equations to solve for .

Add and .

The solution to the independent system of equations can be represented as a point.

Step 2

Since the system has a point of intersection, the system is independent.

Independent

Step 3