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 .
Simplify the left side.
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Multiply by .
Apply the distributive property.
Multiply by .
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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Add to both sides of the equation.
Divide each term by and simplify.
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Divide each term in by .
Simplify the left side of the by cancelling the common factors.
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Reduce the expression by cancelling the common factors.
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Factor out of .
Move the negative one from the denominator of .
Simplify the expression.
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Multiply by .
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 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 .
Multiply by .
The solution can be shown in both point and equation forms.
Point Form:
Equation Form:
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