Linear Algebra Examples

Find the Domain 3x-y=5
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
Dividing two negative values results in a positive value.
Step 2.2.2
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
Divide by .
Step 2.3.1.2
Move the negative one from the denominator of .
Step 2.3.1.3
Rewrite as .
Step 2.3.1.4
Multiply by .
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