Linear Algebra Examples

Find the Domain x-2y=4
x-2y=4x2y=4
Step 1
Subtract xx from both sides of the equation.
-2y=4-x2y=4x
Step 2
Divide each term in -2y=4-x2y=4x by -22 and simplify.
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Step 2.1
Divide each term in -2y=4-x2y=4x by -22.
-2y-2=4-2+-x-22y2=42+x2
Step 2.2
Simplify the left side.
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Step 2.2.1
Cancel the common factor of -22.
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Step 2.2.1.1
Cancel the common factor.
-2y-2=4-2+-x-2
Step 2.2.1.2
Divide y by 1.
y=4-2+-x-2
y=4-2+-x-2
y=4-2+-x-2
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 4 by -2.
y=-2+-x-2
Step 2.3.1.2
Dividing two negative values results in a positive value.
y=-2+x2
y=-2+x2
y=-2+x2
y=-2+x2
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:
{x|x}
Step 4
image of graph
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{
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A
A
7
7
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9
B
B
4
4
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6
6
/
/
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×
×
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>
π
π
1
1
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3
-
-
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0
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 [x2  12  π  xdx ]