Linear Algebra Examples

Find the Domain x/2-y/3=1/3
Step 1
Subtract from both sides of the equation.
Step 2
Multiply both sides of the equation by .
Step 3
Simplify both sides of the equation.
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Step 3.1
Simplify the left side.
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Step 3.1.1
Simplify .
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Step 3.1.1.1
Cancel the common factor of .
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Step 3.1.1.1.1
Move the leading negative in into the numerator.
Step 3.1.1.1.2
Factor out of .
Step 3.1.1.1.3
Cancel the common factor.
Step 3.1.1.1.4
Rewrite the expression.
Step 3.1.1.2
Multiply.
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Step 3.1.1.2.1
Multiply by .
Step 3.1.1.2.2
Multiply by .
Step 3.2
Simplify the right side.
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Step 3.2.1
Simplify .
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Step 3.2.1.1
Apply the distributive property.
Step 3.2.1.2
Cancel the common factor of .
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Step 3.2.1.2.1
Factor out of .
Step 3.2.1.2.2
Cancel the common factor.
Step 3.2.1.2.3
Rewrite the expression.
Step 3.2.1.3
Multiply .
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Step 3.2.1.3.1
Multiply by .
Step 3.2.1.3.2
Combine and .
Step 4
Reorder and .
Step 5
The domain of the expression is all real numbers except where the expression is undefined. In this case, there is no real number that makes the expression undefined.
Interval Notation:
Set-Builder Notation:
Step 6