# Precalculus Examples

,
Step 1
Multiply each equation by the value that makes the coefficients of opposite.
Step 2
Simplify.
Step 2.1
Simplify the left side.
Step 2.1.1
Simplify .
Step 2.1.1.1
Apply the distributive property.
Step 2.1.1.2
Rewrite as .
Step 2.1.1.3
Multiply .
Step 2.1.1.3.1
Multiply by .
Step 2.1.1.3.2
Multiply by .
Step 2.2
Simplify the right side.
Step 2.2.1
Multiply by .
Step 3
Add the two equations together to eliminate from the system.
Step 4
Divide each term in by and simplify.
Step 4.1
Divide each term in by .
Step 4.2
Simplify the left side.
Step 4.2.1
Cancel the common factor of .
Step 4.2.1.1
Cancel the common factor.
Step 4.2.1.2
Divide by .
Step 4.3
Simplify the right side.
Step 4.3.1
Divide by .
Step 5
Substitute the value found for into one of the original equations, then solve for .
Step 5.1
Substitute the value found for into one of the original equations to solve for .
Step 5.2
Move all terms not containing to the right side of the equation.
Step 5.2.1
Subtract from both sides of the equation.
Step 5.2.2
Subtract from .
Step 6
The solution to the independent system of equations can be represented as a point.
Step 7
The result can be shown in multiple forms.
Point Form:
Equation Form:
Step 8