Write as a Function of x (3x-2y)/4=5

$\frac{3 x - 2 y}{4} = 5$

Step 1

Multiply both sides by $4$ .

$\frac{3 x - 2 y}{4} \cdot 4 = 5 \cdot 4$

Step 2

Simplify.

Simplify the left side.

Cancel the common factor of $4$ .

Cancel the common factor.

$\frac{3 x - 2 y}{4} \cdot 4 = 5 \cdot 4$

Rewrite the expression.

$3 x - 2 y = 5 \cdot 4$

Simplify the right side.

Multiply $5$ by $4$ .

$3 x - 2 y = 20$

Step 3

Solve for $y$ .

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

$- 2 y = 20 - 3 x$

Divide each term in $- 2 y = 20 - 3 x$ by $- 2$ and simplify.

Divide each term in $- 2 y = 20 - 3 x$ by $- 2$ .

$\frac{- 2 y}{- 2} = \frac{20}{- 2} + \frac{- 3 x}{- 2}$

Simplify the left side.

Cancel the common factor of $- 2$ .

Cancel the common factor.

$\frac{- 2 y}{- 2} = \frac{20}{- 2} + \frac{- 3 x}{- 2}$

Divide $y$ by $1$ .

$y = \frac{20}{- 2} + \frac{- 3 x}{- 2}$

Simplify the right side.

Simplify each term.

Divide $20$ by $- 2$ .

$y = - 10 + \frac{- 3 x}{- 2}$

Dividing two negative values results in a positive value.

$y = - 10 + \frac{3 x}{2}$

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.

$f (x) = - 10 + \frac{3 x}{2}$

Write as a Function of x (3x-2y)/4=5

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