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Linear Algebra Examples
x-2y=4x−2y=4
Step 1
Subtract xx from both sides of the equation.
-2y=4-x−2y=4−x
Step 2
Step 2.1
Divide each term in -2y=4-x−2y=4−x by -2−2.
-2y-2=4-2+-x-2−2y−2=4−2+−x−2
Step 2.2
Simplify the left side.
Step 2.2.1
Cancel the common factor of -2−2.
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.
Step 2.3.1
Simplify each term.
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∈ℝ}
Step 4