Precalculus Examples

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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.
Multiply by .
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 .
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 .
Move the negative one from the denominator of .
Simplify the expression.
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Multiply by .
Rewrite as .
Simplify the right side of the equation.
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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.
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 .
Simplify each term.
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Simplify .
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Write as a fraction with denominator .
Multiply and .
Multiply by .
Move the negative in front of the fraction.
Move all terms not containing to the right side of the equation.
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Add to both sides of the equation.
Simplify the right side of the equation.
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To write as a fraction with a common denominator, multiply by .
Write each expression with a common denominator of , by multiplying each by an appropriate factor of .
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Combine.
Multiply by .
Combine the numerators over the common denominator.
Simplify the numerator.
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Multiply by .
Subtract from .
Move the negative in front of the fraction.
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 .
Move the negative one from the denominator of .
Simplify the expression.
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Multiply by .
Rewrite as .
Simplify the right side of the equation.
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Cancel the common factor of .
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Move the leading negative in into the numerator.
Move the leading negative in into the numerator.
Factor out the greatest common factor .
Cancel the common factor.
Rewrite the expression.
Simplify.
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Multiply and .
Multiply by .
Multiply by .
The solution can be shown in both point and equation forms.
Point Form:
Equation Form:
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