Write as a Function of k k(-7)=10t-19

$k (- 7) = 10 t - 19$

Step 1

Rewrite the equation as $10 t - 19 = k (- 7)$ .

$10 t - 19 = k (- 7)$

Step 2

Move $- 7$ to the left of $k$ .

$10 t - 19 = - 7 k$

Step 3

Add $19$ to both sides of the equation.

$10 t = - 7 k + 19$

Step 4

Divide each term in $10 t = - 7 k + 19$ by $10$ and simplify.

Divide each term in $10 t = - 7 k + 19$ by $10$ .

$\frac{10 t}{10} = \frac{- 7 k}{10} + \frac{19}{10}$

Simplify the left side.

Cancel the common factor of $10$ .

Cancel the common factor.

$\frac{10 t}{10} = \frac{- 7 k}{10} + \frac{19}{10}$

Divide $t$ by $1$ .

$t = \frac{- 7 k}{10} + \frac{19}{10}$

Simplify the right side.

Move the negative in front of the fraction.

$t = - \frac{7 k}{10} + \frac{19}{10}$

Step 5

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

$f (k) = - \frac{7 k}{10} + \frac{19}{10}$

Write as a Function of k k(-7)=10t-19

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