Finite Math Examples

Graph Using a Table of Values 3x-10y=20
Step 1
Substitute for and find the result for .
Step 2
Solve the equation for .
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Step 2.1
Multiply by .
Step 2.2
Move all terms not containing to the right side of the equation.
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Step 2.2.1
Add to both sides of the equation.
Step 2.2.2
Add and .
Step 2.3
Divide each term in by and simplify.
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Step 2.3.1
Divide each term in by .
Step 2.3.2
Simplify the left side.
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Step 2.3.2.1
Cancel the common factor of .
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Step 2.3.2.1.1
Cancel the common factor.
Step 2.3.2.1.2
Divide by .
Step 2.3.3
Simplify the right side.
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Step 2.3.3.1
Cancel the common factor of and .
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Step 2.3.3.1.1
Factor out of .
Step 2.3.3.1.2
Cancel the common factors.
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Step 2.3.3.1.2.1
Factor out of .
Step 2.3.3.1.2.2
Cancel the common factor.
Step 2.3.3.1.2.3
Rewrite the expression.
Step 2.3.3.2
Move the negative in front of the fraction.
Step 3
Substitute for and find the result for .
Step 4
Solve the equation for .
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Step 4.1
Multiply by .
Step 4.2
Move all terms not containing to the right side of the equation.
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Step 4.2.1
Add to both sides of the equation.
Step 4.2.2
Add and .
Step 4.3
Divide each term in by and simplify.
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Step 4.3.1
Divide each term in by .
Step 4.3.2
Simplify the left side.
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Step 4.3.2.1
Cancel the common factor of .
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Step 4.3.2.1.1
Cancel the common factor.
Step 4.3.2.1.2
Divide by .
Step 4.3.3
Simplify the right side.
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Step 4.3.3.1
Move the negative in front of the fraction.
Step 5
Substitute for and find the result for .
Step 6
Solve the equation for .
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Step 6.1
Simplify .
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Step 6.1.1
Multiply by .
Step 6.1.2
Subtract from .
Step 6.2
Divide each term in by and simplify.
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Step 6.2.1
Divide each term in by .
Step 6.2.2
Simplify the left side.
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Step 6.2.2.1
Cancel the common factor of .
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Step 6.2.2.1.1
Cancel the common factor.
Step 6.2.2.1.2
Divide by .
Step 6.2.3
Simplify the right side.
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Step 6.2.3.1
Divide by .
Step 7
Substitute for and find the result for .
Step 8
Solve the equation for .
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Step 8.1
Multiply by .
Step 8.2
Move all terms not containing to the right side of the equation.
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Step 8.2.1
Subtract from both sides of the equation.
Step 8.2.2
Subtract from .
Step 8.3
Divide each term in by and simplify.
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Step 8.3.1
Divide each term in by .
Step 8.3.2
Simplify the left side.
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Step 8.3.2.1
Cancel the common factor of .
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Step 8.3.2.1.1
Cancel the common factor.
Step 8.3.2.1.2
Divide by .
Step 8.3.3
Simplify the right side.
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Step 8.3.3.1
Move the negative in front of the fraction.
Step 9
Substitute for and find the result for .
Step 10
Solve the equation for .
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Step 10.1
Multiply by .
Step 10.2
Move all terms not containing to the right side of the equation.
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Step 10.2.1
Subtract from both sides of the equation.
Step 10.2.2
Subtract from .
Step 10.3
Divide each term in by and simplify.
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Step 10.3.1
Divide each term in by .
Step 10.3.2
Simplify the left side.
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Step 10.3.2.1
Cancel the common factor of .
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Step 10.3.2.1.1
Cancel the common factor.
Step 10.3.2.1.2
Divide by .
Step 10.3.3
Simplify the right side.
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Step 10.3.3.1
Cancel the common factor of and .
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Step 10.3.3.1.1
Factor out of .
Step 10.3.3.1.2
Cancel the common factors.
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Step 10.3.3.1.2.1
Factor out of .
Step 10.3.3.1.2.2
Cancel the common factor.
Step 10.3.3.1.2.3
Rewrite the expression.
Step 10.3.3.2
Move the negative in front of the fraction.
Step 11
This is a table of possible values to use when graphing the equation.
Step 12