Linear Algebra Examples

$5 y = 2 x + 10$

Step 1

Divide each term in $5 y = 2 x + 10$ by $5$ and simplify.

Tap for more steps...

Step 1.1

Divide each term in $5 y = 2 x + 10$ by $5$ .

$\frac{5 y}{5} = \frac{2 x}{5} + \frac{10}{5}$

Step 1.2

Simplify the left side.

Tap for more steps...

Step 1.2.1

Cancel the common factor of $5$ .

Tap for more steps...

Step 1.2.1.1

Cancel the common factor.

$\frac{5 y}{5} = \frac{2 x}{5} + \frac{10}{5}$

Step 1.2.1.2

Divide $y$ by $1$ .

$y = \frac{2 x}{5} + \frac{10}{5}$

Step 1.3

Simplify the right side.

Tap for more steps...

Step 1.3.1

Divide $10$ by $5$ .

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

Step 2

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 3