# 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.

Since , the equations intersect at an infinite number of points.

Infinite number of solutions

Add to both sides of the equation.

Divide each term by and simplify.

Divide each term in by .

Simplify the left side of the 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 .

Simplify each term.

Reduce the expression by cancelling the common factors.

Factor out of .

Cancel the common factors.

Factor out of .

Cancel the common factor.

Rewrite the expression.

Move the negative in front of the fraction.

Divide by .

Multiply by .

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

Point Form:

Equation Form: