Linear Algebra Examples

$x = 6 y$

Step 1

Rewrite the equation as $6 y = x$ .

$6 y = x$

Step 2

Divide each term in $6 y = x$ by $6$ and simplify.

Tap for more steps...

Step 2.1

Divide each term in $6 y = x$ by $6$ .

$\frac{6 y}{6} = \frac{x}{6}$

Step 2.2

Simplify the left side.

Tap for more steps...

Step 2.2.1

Cancel the common factor of $6$ .

Tap for more steps...

Step 2.2.1.1

Cancel the common factor.

$\frac{6 y}{6} = \frac{x}{6}$

Step 2.2.1.2

Divide $y$ by $1$ .

$y = \frac{x}{6}$

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:

${x | x \in ℝ}$

Step 4