# Algebra Examples

,
Step 1
Multiply each equation by the value that makes the coefficients of opposite.
Step 2
Simplify.
Simplify the left side.
Simplify .
Apply the distributive property.
Multiply by .
Simplify the right side.
Multiply by .
Step 3
Add the two equations together to eliminate from the system.
Step 4
Divide each term in by and simplify.
Divide each term in by .
Simplify the left side.
Cancel the common factor of .
Cancel the common factor.
Divide by .
Simplify the right side.
Cancel the common factor of and .
Factor out of .
Cancel the common factors.
Factor out of .
Cancel the common factor.
Rewrite the expression.
Step 5
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 in by and simplify.
Divide each term in by .
Simplify the left side.
Cancel the common factor of .
Cancel the common factor.
Divide by .
Simplify the right side.
Multiply the numerator by the reciprocal of the denominator.
Cancel the common factor of .
Move the leading negative in into the numerator.
Factor out of .
Factor out of .
Cancel the common factor.
Rewrite the expression.
Multiply by .
Multiply by .
Dividing two negative values results in a positive value.
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