Precalculus Examples

Determine if Dependent, Independent, or Inconsistent
,
Solve the system of equations.
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Multiply each equation by the value that makes the coefficients of opposite.
Simplify.
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Multiply by .
Simplify the left side.
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Multiply by .
Apply the distributive property.
Rewrite negatives.
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Rewrite as .
Rewrite as .
Add the two equations together to eliminate from the system.
   
  
Rewrite the equation as .
Since , there are no solutions.
No solution
No solution
Since the system has no solution, the equations and graphs are parallel and do not intersect. Thus, the system is inconsistent.
Inconsistent
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