# 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.
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
Solve one of the equations for .
Add to both sides of the equation.
Divide each term by and simplify.
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 .
Rewrite as .
Simplify each term.
Divide by .
Multiply by .
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.
The solution is the set of ordered pairs that make true.