Linear Algebra Examples

Find the Domain 2x-4y=7
Step 1
Subtract from both sides of the equation.
Step 2
Divide each term in by and simplify.
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Step 2.1
Divide each term in by .
Step 2.2
Simplify the left side.
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Step 2.2.1
Cancel the common factor of .
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Step 2.2.1.1
Cancel the common factor.
Step 2.2.1.2
Divide by .
Step 2.3
Simplify the right side.
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Step 2.3.1
Simplify each term.
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Step 2.3.1.1
Move the negative in front of the fraction.
Step 2.3.1.2
Cancel the common factor of and .
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Step 2.3.1.2.1
Factor out of .
Step 2.3.1.2.2
Cancel the common factors.
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Step 2.3.1.2.2.1
Factor out of .
Step 2.3.1.2.2.2
Cancel the common factor.
Step 2.3.1.2.2.3
Rewrite the expression.
Step 3
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 4