Linear Algebra Examples

$x^{2} = \frac{1}{5} y$

Step 1

Rewrite the equation as $\frac{1}{5} y = x^{2}$ .

$\frac{1}{5} y = x^{2}$

Step 2

Multiply both sides of the equation by $5$ .

$5 (\frac{1}{5} y) = 5 x^{2}$

Step 3

Simplify the left side.

Tap for more steps...

Step 3.1

Simplify $5 (\frac{1}{5} y)$ .

Tap for more steps...

Step 3.1.1

Combine $\frac{1}{5}$ and $y$ .

$5 \frac{y}{5} = 5 x^{2}$

Step 3.1.2

Cancel the common factor of $5$ .

Tap for more steps...

Step 3.1.2.1

Cancel the common factor.

$5 \frac{y}{5} = 5 x^{2}$

Step 3.1.2.2

Rewrite the expression.

$y = 5 x^{2}$

Step 4

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:

${x | x \in ℝ}$

Step 5