# Algebra Examples

,

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

Simplify.

Multiply by .

Simplify the left side.

Multiply by .

Apply the distributive property.

Rewrite as .

Simplify .

Multiply by .

Multiply by .

Add the two equations together to eliminate from the system.

Rewrite the equation as .

Since , there are no solutions.

No solution

No solution

Since the system has no solution, the equations and graphs are parallel and do not intersect. Thus, the system is inconsistent.

Inconsistent