Finite Math Examples

Find Three Ordered Pair Solutions 7x+9=6x+3y
Step 1
Solve the equation for .
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Step 1.1
Rewrite the equation as .
Step 1.2
Move all terms not containing to the right side of the equation.
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Step 1.2.1
Subtract from both sides of the equation.
Step 1.2.2
Subtract from .
Step 1.3
Divide each term in by and simplify.
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Step 1.3.1
Divide each term in by .
Step 1.3.2
Simplify the left side.
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Step 1.3.2.1
Cancel the common factor of .
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Step 1.3.2.1.1
Cancel the common factor.
Step 1.3.2.1.2
Divide by .
Step 1.3.3
Simplify the right side.
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Step 1.3.3.1
Divide by .
Step 2
Choose any value for that is in the domain to plug into the equation.
Step 3
Choose to substitute in for to find the ordered pair.
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Step 3.1
Remove parentheses.
Step 3.2
Simplify .
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Step 3.2.1
Divide by .
Step 3.2.2
Add and .
Step 3.3
Use the and values to form the ordered pair.
Step 4
Choose to substitute in for to find the ordered pair.
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Step 4.1
Remove parentheses.
Step 4.2
Simplify .
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Step 4.2.1
To write as a fraction with a common denominator, multiply by .
Step 4.2.2
Combine and .
Step 4.2.3
Combine the numerators over the common denominator.
Step 4.2.4
Simplify the numerator.
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Step 4.2.4.1
Multiply by .
Step 4.2.4.2
Add and .
Step 4.3
Use the and values to form the ordered pair.
Step 5
Choose to substitute in for to find the ordered pair.
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Step 5.1
Remove parentheses.
Step 5.2
Simplify .
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Step 5.2.1
To write as a fraction with a common denominator, multiply by .
Step 5.2.2
Combine and .
Step 5.2.3
Combine the numerators over the common denominator.
Step 5.2.4
Simplify the numerator.
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Step 5.2.4.1
Multiply by .
Step 5.2.4.2
Add and .
Step 5.3
Use the and values to form the ordered pair.
Step 6
These are three possible solutions to the equation.
Step 7