Write as a Function of x (5x-4y)/6=-4

$\frac{5 x - 4 y}{6} = - 4$

Step 1

Multiply both sides by $6$ .

$\frac{5 x - 4 y}{6} \cdot 6 = - 4 \cdot 6$

Step 2

Simplify.

Simplify the left side.

Cancel the common factor of $6$ .

Cancel the common factor.

$\frac{5 x - 4 y}{6} \cdot 6 = - 4 \cdot 6$

Rewrite the expression.

$5 x - 4 y = - 4 \cdot 6$

Simplify the right side.

Multiply $- 4$ by $6$ .

$5 x - 4 y = - 24$

Step 3

Solve for $y$ .

Subtract $5 x$ from both sides of the equation.

$- 4 y = - 24 - 5 x$

Divide each term in $- 4 y = - 24 - 5 x$ by $- 4$ and simplify.

Divide each term in $- 4 y = - 24 - 5 x$ by $- 4$ .

$\frac{- 4 y}{- 4} = \frac{- 24}{- 4} + \frac{- 5 x}{- 4}$

Simplify the left side.

Cancel the common factor of $- 4$ .

Cancel the common factor.

$\frac{- 4 y}{- 4} = \frac{- 24}{- 4} + \frac{- 5 x}{- 4}$

Divide $y$ by $1$ .

$y = \frac{- 24}{- 4} + \frac{- 5 x}{- 4}$

Simplify the right side.

Simplify each term.

Divide $- 24$ by $- 4$ .

$y = 6 + \frac{- 5 x}{- 4}$

Dividing two negative values results in a positive value.

$y = 6 + \frac{5 x}{4}$

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.

$f (x) = 6 + \frac{5 x}{4}$

Write as a Function of x (5x-4y)/6=-4

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