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

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

Step 1

Multiply both sides by $5$ .

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

Step 2

Simplify.

Simplify the left side.

Cancel the common factor of $5$ .

Cancel the common factor.

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

Rewrite the expression.

$- 3 x - 4 y = 5 \cdot 5$

Simplify the right side.

Multiply $5$ by $5$ .

$- 3 x - 4 y = 25$

Step 3

Solve for $y$ .

Add $3 x$ to both sides of the equation.

$- 4 y = 25 + 3 x$

Divide each term in $- 4 y = 25 + 3 x$ by $- 4$ and simplify.

Divide each term in $- 4 y = 25 + 3 x$ by $- 4$ .

$\frac{- 4 y}{- 4} = \frac{25}{- 4} + \frac{3 x}{- 4}$

Simplify the left side.

Cancel the common factor of $- 4$ .

Cancel the common factor.

$\frac{- 4 y}{- 4} = \frac{25}{- 4} + \frac{3 x}{- 4}$

Divide $y$ by $1$ .

$y = \frac{25}{- 4} + \frac{3 x}{- 4}$

Simplify the right side.

Simplify each term.

Move the negative in front of the fraction.

$y = - \frac{25}{4} + \frac{3 x}{- 4}$

Move the negative in front of the fraction.

$y = - \frac{25}{4} - \frac{3 x}{4}$

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.

$f (x) = - \frac{25}{4} - \frac{3 x}{4}$

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

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