Linear Algebra Examples

$0.05 x + 1 y + 5 z - 100 = 0$

Step 1

Multiply $y$ by $1$ .

$0.05 x + y + 5 z - 100 = 0$

Step 2

Move all terms not containing $y$ to the right side of the equation.

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Step 2.1

Subtract $0.05 x$ from both sides of the equation.

$y + 5 z - 100 = - 0.05 x$

Step 2.2

Subtract $5 z$ from both sides of the equation.

$y - 100 = - 0.05 x - 5 z$

Step 2.3

Add $100$ to both sides of the equation.

$y = - 0.05 x - 5 z + 100$

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:

$(- \infty, \infty)$

Set-Builder Notation:

${x | x \in ℝ}$