# Algebra Examples

Determine if Dependent, Independent, or Inconsistent
,
Solve the system of equations.
Multiply each equation by the value that makes the coefficients of opposite.
Simplify.
Simplify the left side.
Apply the distributive property.
Simplify the expression.
Rewrite as .
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 .
Move the negative in front of the fraction.
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 .
Move all terms not containing to the right side of the equation.
Add to both sides of the equation.
Simplify the right side of the equation.
To write as a fraction with a common denominator, multiply by .
Write each expression with a common denominator of , by multiplying each by an appropriate factor of .
Combine.
Multiply by .
Combine the numerators over the common denominator.
Simplify the numerator.
Multiply by .