Write as a Function of h h=(1/5)w+(8/5)

$h = (\frac{1}{5}) w + (\frac{8}{5})$

Step 1

Rewrite the equation as $(\frac{1}{5}) w + \frac{8}{5} = h$ .

$(\frac{1}{5}) w + \frac{8}{5} = h$

Step 2

Combine $\frac{1}{5}$ and $w$ .

$\frac{w}{5} + \frac{8}{5} = h$

Step 3

Subtract $\frac{8}{5}$ from both sides of the equation.

$\frac{w}{5} = h - \frac{8}{5}$

Step 4

Multiply both sides of the equation by $5$ .

$5 \frac{w}{5} = 5 (h - \frac{8}{5})$

Step 5

Simplify both sides of the equation.

Simplify the left side.

Cancel the common factor of $5$ .

Cancel the common factor.

$5 \frac{w}{5} = 5 (h - \frac{8}{5})$

Rewrite the expression.

$w = 5 (h - \frac{8}{5})$

Simplify the right side.

Simplify $5 (h - \frac{8}{5})$ .

Apply the distributive property.

$w = 5 h + 5 (- \frac{8}{5})$

Cancel the common factor of $5$ .

Move the leading negative in $- \frac{8}{5}$ into the numerator.

$w = 5 h + 5 (\frac{- 8}{5})$

Cancel the common factor.

$w = 5 h + 5 (\frac{- 8}{5})$

Rewrite the expression.

$w = 5 h - 8$

Step 6

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

$f (h) = 5 h - 8$

Write as a Function of h h=(1/5)w+(8/5)

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