# Precalculus Examples

,
Multiply each equation by the value that makes the coefficients of opposite.
Simplify.
Simplify .
Apply the distributive property.
Multiply by .
Multiply by .
Add the two equations together to eliminate from the system.
Divide each term by and simplify.
Divide each term in by .
Cancel the common factor of .
Cancel the common factor.
Divide by .
Cancel the common factor of and .
Factor out of .
Cancel the common factors.
Factor out of .
Cancel the common factor.
Rewrite the expression.
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 .
Simplify each term.
Multiply .
Combine and .
Multiply by .
Move the negative in front of the fraction.
Move all terms not containing to the right side of the equation.
Add to both sides of the equation.
To write as a fraction with a common denominator, multiply by .
Combine and .
Combine the numerators over the common denominator.
Simplify the numerator.
Multiply by .
Move the negative in front of the fraction.
Divide each term by and simplify.
Divide each term in by .
Cancel the common factor of .
Cancel the common factor.
Divide by .
Simplify .
Cancel the common factor of .
Move the leading negative in into the numerator.
Move the leading negative in into the numerator.
Factor out of .
Factor out of .
Cancel the common factor.
Rewrite the expression.
Multiply and .
Multiply.
Multiply by .
Multiply by .
The solution to the independent system of equations can be represented as a point.
The result can be shown in multiple forms.
Point Form:
Equation Form: