Write as a Function of x (3x-y)/5=4

$\frac{3 x - y}{5} = 4$

Step 1

Multiply both sides by $5$ .

$\frac{3 x - y}{5} \cdot 5 = 4 \cdot 5$

Step 2

Simplify.

Simplify the left side.

Cancel the common factor of $5$ .

Cancel the common factor.

$\frac{3 x - y}{5} \cdot 5 = 4 \cdot 5$

Rewrite the expression.

$3 x - y = 4 \cdot 5$

Simplify the right side.

Multiply $4$ by $5$ .

$3 x - y = 20$

Step 3

Solve for $y$ .

Subtract $3 x$ from both sides of the equation.

$- y = 20 - 3 x$

Divide each term in $- y = 20 - 3 x$ by $- 1$ and simplify.

Divide each term in $- y = 20 - 3 x$ by $- 1$ .

$\frac{- y}{- 1} = \frac{20}{- 1} + \frac{- 3 x}{- 1}$

Simplify the left side.

Dividing two negative values results in a positive value.

$\frac{y}{1} = \frac{20}{- 1} + \frac{- 3 x}{- 1}$

Divide $y$ by $1$ .

$y = \frac{20}{- 1} + \frac{- 3 x}{- 1}$

Simplify the right side.

Simplify each term.

Divide $20$ by $- 1$ .

$y = - 20 + \frac{- 3 x}{- 1}$

Move the negative one from the denominator of $\frac{- 3 x}{- 1}$ .

$y = - 20 - 1 \cdot (- 3 x)$

Rewrite $- 1 \cdot (- 3 x)$ as $- (- 3 x)$ .

$y = - 20 - (- 3 x)$

Multiply $- 3$ by $- 1$ .

$y = - 20 + 3 x$

Step 4

To rewrite as a function of $x$ , write the equation so that $y$ is by itself on one side of the equal sign and an expression involving only $x$ is on the other side.

$f (x) = - 20 + 3 x$

Write as a Function of x (3x-y)/5=4

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