Basic Math Examples

$y = \frac{1}{2} x + \frac{3}{5}$

Step 1

Rewrite the equation as $\frac{1}{2} x + \frac{3}{5} = y$ .

$\frac{1}{2} x + \frac{3}{5} = y$

Step 2

Combine $\frac{1}{2}$ and $x$ .

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

Step 3

Subtract $\frac{3}{5}$ from both sides of the equation.

$\frac{x}{2} = y - \frac{3}{5}$

Step 4

Multiply both sides of the equation by $2$ .

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

Step 5

Simplify both sides of the equation.

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Step 5.1

Simplify the left side.

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Step 5.1.1

Cancel the common factor of $2$ .

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Step 5.1.1.1

Cancel the common factor.

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

Step 5.1.1.2

Rewrite the expression.

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

Step 5.2

Simplify the right side.

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Step 5.2.1

Simplify $2 (y - \frac{3}{5})$ .

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Step 5.2.1.1

Apply the distributive property.

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

Step 5.2.1.2

Multiply $2 (- \frac{3}{5})$ .

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Step 5.2.1.2.1

Multiply $- 1$ by $2$ .

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

Step 5.2.1.2.2

Combine $- 2$ and $\frac{3}{5}$ .

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

Step 5.2.1.2.3

Multiply $- 2$ by $3$ .

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

Step 5.2.1.3

Move the negative in front of the fraction.

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