Algebra Examples

$10 (x + \frac{3}{5}) = 2 y$

Step 1

The slope-intercept form is $y = m x + b$ , where $m$ is the slope and $b$ is the y-intercept.

$y = m x + b$

Step 2

Rewrite in slope-intercept form.

Tap for more steps...

Step 2.1

Simplify the left side.

Tap for more steps...

Step 2.1.1

Simplify $10 (x + \frac{3}{5})$ .

Tap for more steps...

Step 2.1.1.1

Apply the distributive property.

$10 x + 10 (\frac{3}{5}) = 2 y$

Step 2.1.1.2

Cancel the common factor of $5$ .

Tap for more steps...

Step 2.1.1.2.1

Factor $5$ out of $10$ .

$10 x + 5 (2) \frac{3}{5} = 2 y$

Step 2.1.1.2.2

Cancel the common factor.

$10 x + 5 \cdot 2 \frac{3}{5} = 2 y$

Step 2.1.1.2.3

Rewrite the expression.

$10 x + 2 \cdot 3 = 2 y$

$10 x + 2 \cdot 3 = 2 y$

Step 2.1.1.3

Multiply $2$ by $3$ .

$10 x + 6 = 2 y$

$10 x + 6 = 2 y$

$10 x + 6 = 2 y$

Step 2.2

Rewrite the equation as $2 y = 10 x + 6$ .

$2 y = 10 x + 6$

Step 2.3

Divide each term in $2 y = 10 x + 6$ by $2$ and simplify.

Tap for more steps...

Step 2.3.1

Divide each term in $2 y = 10 x + 6$ by $2$ .

$\frac{2 y}{2} = \frac{10 x}{2} + \frac{6}{2}$

Step 2.3.2

Simplify the left side.

Tap for more steps...

Step 2.3.2.1

Cancel the common factor of $2$ .

Tap for more steps...

Step 2.3.2.1.1

Cancel the common factor.

$\frac{2 y}{2} = \frac{10 x}{2} + \frac{6}{2}$

Step 2.3.2.1.2

Divide $y$ by $1$ .

$y = \frac{10 x}{2} + \frac{6}{2}$

$y = \frac{10 x}{2} + \frac{6}{2}$

$y = \frac{10 x}{2} + \frac{6}{2}$

Step 2.3.3

Simplify the right side.

Tap for more steps...

Step 2.3.3.1

Simplify each term.

Tap for more steps...

Step 2.3.3.1.1

Cancel the common factor of $10$ and $2$ .

Tap for more steps...

Step 2.3.3.1.1.1

Factor $2$ out of $10 x$ .

$y = \frac{2 (5 x)}{2} + \frac{6}{2}$

Step 2.3.3.1.1.2

Cancel the common factors.

Tap for more steps...

Step 2.3.3.1.1.2.1

Factor $2$ out of $2$ .

$y = \frac{2 (5 x)}{2 (1)} + \frac{6}{2}$

Step 2.3.3.1.1.2.2

Cancel the common factor.

$y = \frac{2 (5 x)}{2 \cdot 1} + \frac{6}{2}$

Step 2.3.3.1.1.2.3

Rewrite the expression.

$y = \frac{5 x}{1} + \frac{6}{2}$

Step 2.3.3.1.1.2.4

Divide $5 x$ by $1$ .

$y = 5 x + \frac{6}{2}$

$y = 5 x + \frac{6}{2}$

$y = 5 x + \frac{6}{2}$

Step 2.3.3.1.2

Divide $6$ by $2$ .

$y = 5 x + 3$

$y = 5 x + 3$

$y = 5 x + 3$

$y = 5 x + 3$

$y = 5 x + 3$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$