# Precalculus Examples

Determine if Dependent, Independent, or Inconsistent
,
Step 1
Solve the system of equations.
Step 1.1
Multiply each equation by the value that makes the coefficients of opposite.
Step 1.2
Simplify.
Step 1.2.1
Simplify the left side.
Step 1.2.1.1
Simplify .
Step 1.2.1.1.1
Apply the distributive property.
Step 1.2.1.1.2
Rewrite as .
Step 1.2.1.1.3
Multiply .
Step 1.2.1.1.3.1
Multiply by .
Step 1.2.1.1.3.2
Multiply by .
Step 1.2.2
Simplify the right side.
Step 1.2.2.1
Multiply by .
Step 1.3
Add the two equations together to eliminate from the system.
Step 1.4
Divide each term in by and simplify.
Step 1.4.1
Divide each term in by .
Step 1.4.2
Simplify the left side.
Step 1.4.2.1
Cancel the common factor of .
Step 1.4.2.1.1
Cancel the common factor.
Step 1.4.2.1.2
Divide by .
Step 1.4.3
Simplify the right side.
Step 1.4.3.1
Divide by .
Step 1.5
Substitute the value found for into one of the original equations, then solve for .
Step 1.5.1
Substitute the value found for into one of the original equations to solve for .
Step 1.5.2