Finite Math Examples

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

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

Step 1

Solve for

y

$y$ .

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Step 1.1

Rewrite the equation as

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

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

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

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

Step 1.2

Combine

\frac{1}{3}

$\frac{1}{3}$ and

y

$y$ .

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

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

Step 1.3

Subtract

2

$2$ from both sides of the equation.

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

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

Step 1.4

Multiply both sides of the equation by

3

$3$ .

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

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

Step 1.5

Simplify both sides of the equation.

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Step 1.5.1

Simplify the left side.

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Step 1.5.1.1

Cancel the common factor of

3

$3$ .

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Step 1.5.1.1.1

Cancel the common factor.

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

Step 1.5.1.1.2

Rewrite the expression.

$y = 3 (x - 2)$

Step 1.5.2

Simplify the right side.

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Step 1.5.2.1

Simplify

$3 (x - 2)$ .

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Step 1.5.2.1.1

Apply the distributive property.

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

Step 1.5.2.1.2

Multiply

$3$ by

$- 2$ .

$y = 3 x - 6$

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.