Algebra Examples

Solve by Addition/Elimination
,
Multiply each equation by the value that makes the coefficients of opposite.
Simplify.
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Multiply by to get .
Simplify the left side.
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Multiply by to get .
Apply the distributive property.
Multiply by to get .
Add the two equations together to eliminate from the system.
   
  
Since , the equations intersect at an infinite number of points.
Infinite number of solutions
Solve one of the equations for .
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Since does not contain the variable to solve for, move it to the right side of the equation by adding to both sides.
Divide each term by and simplify.
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Divide each term in by .
Simplify the left side of the equation by cancelling the common factors.
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Reduce the expression by cancelling the common factors.
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Factor out of .
Cancel the common factor.
Rewrite the expression.
Move the negative one from the denominator of .
Simplify the expression.
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Multiply by to get .
Rewrite as .
Simplify each term.
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Reduce the expression by cancelling the common factors.
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Factor out of .
Cancel the common factor.
Rewrite the expression.
Move the negative in front of the fraction.
Divide by to get .
Multiply by to get .
The solution is the set of ordered pairs that make true.
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