Algebra Examples

Find Three Ordered Pair Solutions 2x-3y=6
Step 1
Solve the equation for .
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Step 1.1
Subtract from both sides of the equation.
Step 1.2
Divide each term in by and simplify.
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Step 1.2.1
Divide each term in by .
Step 1.2.2
Simplify the left side.
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Step 1.2.2.1
Cancel the common factor of .
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Step 1.2.2.1.1
Cancel the common factor.
Step 1.2.2.1.2
Divide by .
Step 1.2.3
Simplify the right side.
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Step 1.2.3.1
Simplify each term.
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Step 1.2.3.1.1
Divide by .
Step 1.2.3.1.2
Dividing two negative values results in a positive value.
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
Multiply by .
Step 3.2.2
Divide by .
Step 3.2.3
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
Multiply by .
Step 4.2.2
To write as a fraction with a common denominator, multiply by .
Step 4.2.3
Combine and .
Step 4.2.4
Combine the numerators over the common denominator.
Step 4.2.5
Simplify the numerator.
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Step 4.2.5.1
Multiply by .
Step 4.2.5.2
Add and .
Step 4.2.6
Move the negative in front of the fraction.
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
Multiply by .
Step 5.2.2
To write as a fraction with a common denominator, multiply by .
Step 5.2.3
Combine and .
Step 5.2.4
Combine the numerators over the common denominator.
Step 5.2.5
Simplify the numerator.
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Step 5.2.5.1
Multiply by .
Step 5.2.5.2
Add and .
Step 5.2.6
Move the negative in front of the fraction.
Step 5.3
Use the and values to form the ordered pair.
Step 6
These are three possible solutions to the equation.
Step 7