Precalculus Examples

Determine if Dependent, Independent, or Inconsistent
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Solve the system of equations.
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Add the two equations together to eliminate from the system.
   
  
Divide each term by and simplify.
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Divide each term in by .
Reduce the expression by cancelling the common factors.
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Cancel the common factor.
Divide by .
Divide by .
Substitute the value found for into one of the original equations, then solve for .
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Substitute the value found for into one of the original equations to solve for .
Add and .
The solution to the independent system of equations can be represented as a point.
Since the system has a point of intersection, the system is independent.
Independent
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