Write as a Function of x 8x-4y=20

$8 x - 4 y = 20$

Step 1

Subtract $8 x$ from both sides of the equation.

$- 4 y = 20 - 8 x$

Step 2

Divide each term in $- 4 y = 20 - 8 x$ by $- 4$ and simplify.

Divide each term in $- 4 y = 20 - 8 x$ by $- 4$ .

$\frac{- 4 y}{- 4} = \frac{20}{- 4} + \frac{- 8 x}{- 4}$

Simplify the left side.

Cancel the common factor of $- 4$ .

Cancel the common factor.

$\frac{- 4 y}{- 4} = \frac{20}{- 4} + \frac{- 8 x}{- 4}$

Divide $y$ by $1$ .

$y = \frac{20}{- 4} + \frac{- 8 x}{- 4}$

Simplify the right side.

Simplify each term.

Divide $20$ by $- 4$ .

$y = - 5 + \frac{- 8 x}{- 4}$

Cancel the common factor of $- 8$ and $- 4$ .

Factor $- 4$ out of $- 8 x$ .

$y = - 5 + \frac{- 4 (2 x)}{- 4}$

Cancel the common factors.

Factor $- 4$ out of $- 4$ .

$y = - 5 + \frac{- 4 (2 x)}{- 4 (1)}$

Cancel the common factor.

$y = - 5 + \frac{- 4 (2 x)}{- 4 \cdot 1}$

Rewrite the expression.

$y = - 5 + \frac{2 x}{1}$

Divide $2 x$ by $1$ .

$y = - 5 + 2 x$

Step 3

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.

$f (x) = - 5 + 2 x$

Write as a Function of x 8x-4y=20

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