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Finite Math Examples
, ,
Step 1
Step 1.1
Add to both sides of the equation.
Step 1.2
Subtract from both sides of the equation.
Step 2
Step 2.1
Replace all occurrences of in with .
Step 2.2
Simplify the left side.
Step 2.2.1
Simplify .
Step 2.2.1.1
Simplify each term.
Step 2.2.1.1.1
Apply the distributive property.
Step 2.2.1.1.2
Simplify.
Step 2.2.1.1.2.1
Multiply by .
Step 2.2.1.1.2.2
Multiply by .
Step 2.2.1.1.2.3
Multiply by .
Step 2.2.1.2
Simplify by adding terms.
Step 2.2.1.2.1
Add and .
Step 2.2.1.2.2
Subtract from .
Step 2.3
Replace all occurrences of in with .
Step 2.4
Simplify the left side.
Step 2.4.1
Simplify .
Step 2.4.1.1
Simplify each term.
Step 2.4.1.1.1
Apply the distributive property.
Step 2.4.1.1.2
Simplify.
Step 2.4.1.1.2.1
Multiply by .
Step 2.4.1.1.2.2
Multiply by .
Step 2.4.1.1.2.3
Multiply by .
Step 2.4.1.2
Simplify by adding terms.
Step 2.4.1.2.1
Add and .
Step 2.4.1.2.2
Subtract from .
Step 3
Step 3.1
Move all terms not containing to the right side of the equation.
Step 3.1.1
Add to both sides of the equation.
Step 3.1.2
Subtract from both sides of the equation.
Step 3.1.3
Subtract from .
Step 3.2
Divide each term in by and simplify.
Step 3.2.1
Divide each term in by .
Step 3.2.2
Simplify the left side.
Step 3.2.2.1
Cancel the common factor of .
Step 3.2.2.1.1
Cancel the common factor.
Step 3.2.2.1.2
Divide by .
Step 3.2.3
Simplify the right side.
Step 3.2.3.1
Simplify each term.
Step 3.2.3.1.1
Cancel the common factor of and .
Step 3.2.3.1.1.1
Factor out of .
Step 3.2.3.1.1.2
Cancel the common factors.
Step 3.2.3.1.1.2.1
Factor out of .
Step 3.2.3.1.1.2.2
Cancel the common factor.
Step 3.2.3.1.1.2.3
Rewrite the expression.
Step 3.2.3.1.1.2.4
Divide by .
Step 3.2.3.1.2
Move the negative in front of the fraction.
Step 4
Step 4.1
Replace all occurrences of in with .
Step 4.2
Simplify the left side.
Step 4.2.1
Simplify .
Step 4.2.1.1
Simplify each term.
Step 4.2.1.1.1
Apply the distributive property.
Step 4.2.1.1.2
Multiply by .
Step 4.2.1.1.3
Cancel the common factor of .
Step 4.2.1.1.3.1
Move the leading negative in into the numerator.
Step 4.2.1.1.3.2
Factor out of .
Step 4.2.1.1.3.3
Cancel the common factor.
Step 4.2.1.1.3.4
Rewrite the expression.
Step 4.2.1.1.4
Multiply by .
Step 4.2.1.2
Simplify by adding terms.
Step 4.2.1.2.1
Subtract from .
Step 4.2.1.2.2
Subtract from .
Step 4.3
Replace all occurrences of in with .
Step 4.4
Simplify the right side.
Step 4.4.1
Simplify .
Step 4.4.1.1
Simplify each term.
Step 4.4.1.1.1
Apply the distributive property.
Step 4.4.1.1.2
Multiply by .
Step 4.4.1.1.3
Multiply .
Step 4.4.1.1.3.1
Multiply by .
Step 4.4.1.1.3.2
Combine and .
Step 4.4.1.1.3.3
Multiply by .
Step 4.4.1.1.4
Move the negative in front of the fraction.
Step 4.4.1.2
Simplify by adding terms.
Step 4.4.1.2.1
Write as a fraction with a common denominator.
Step 4.4.1.2.2
Simplify the expression.
Step 4.4.1.2.2.1
Combine the numerators over the common denominator.
Step 4.4.1.2.2.2
Subtract from .
Step 4.4.1.2.2.3
Move the negative in front of the fraction.
Step 4.4.1.2.3
Subtract from .
Step 5
Step 5.1
Move all terms not containing to the right side of the equation.
Step 5.1.1
Add to both sides of the equation.
Step 5.1.2
Add and .
Step 5.2
Divide each term in by and simplify.
Step 5.2.1
Divide each term in by .
Step 5.2.2
Simplify the left side.
Step 5.2.2.1
Cancel the common factor of .
Step 5.2.2.1.1
Cancel the common factor.
Step 5.2.2.1.2
Divide by .
Step 5.2.3
Simplify the right side.
Step 5.2.3.1
Divide by .
Step 6
Step 6.1
Replace all occurrences of in with .
Step 6.2
Simplify the right side.
Step 6.2.1
Simplify .
Step 6.2.1.1
To write as a fraction with a common denominator, multiply by .
Step 6.2.1.2
Combine and .
Step 6.2.1.3
Combine the numerators over the common denominator.
Step 6.2.1.4
Simplify the numerator.
Step 6.2.1.4.1
Multiply by .
Step 6.2.1.4.2
Subtract from .
Step 6.3
Replace all occurrences of in with .
Step 6.4
Simplify the right side.
Step 6.4.1
Simplify .
Step 6.4.1.1
Multiply by .
Step 6.4.1.2
To write as a fraction with a common denominator, multiply by .
Step 6.4.1.3
Combine and .
Step 6.4.1.4
Combine the numerators over the common denominator.
Step 6.4.1.5
Simplify the numerator.
Step 6.4.1.5.1
Multiply by .
Step 6.4.1.5.2
Subtract from .
Step 7
The solution to the system is the complete set of ordered pairs that are valid solutions.
Step 8
The result can be shown in multiple forms.
Point Form:
Equation Form: