# Algebra Examples

,

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

Multiply by .

Simplify the left side.

Multiply by .

Apply the distributive property.

Multiply by .

Add the two equations together to eliminate from the system.

Divide each term in by .

Simplify the left side of the equation by cancelling the common factors.

Reduce the expression by cancelling the common factors.

Factor out of .

Move the negative one from the denominator of .

Simplify the expression.

Multiply by .

Rewrite as .

Divide by .

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

Move all terms not containing to the right side of the equation.

Subtract from both sides of the equation.

Subtract from .

Divide each term by and simplify.

Divide each term in by .

Reduce the expression by cancelling the common factors.

Cancel the common factor.

Divide by .

Simplify the right side of the equation.

Divide by .

Multiply by .

The solution can be shown in both point and equation forms.

Point Form:

Equation Form: