Algebra Examples

$k (3) = 13 t - 2$

Step 1

Rewrite the equation as $13 t - 2 = k (3)$ .

$13 t - 2 = k (3)$

Step 2

Move $3$ to the left of $k$ .

$13 t - 2 = 3 k$

Step 3

Add $2$ to both sides of the equation.

$13 t = 3 k + 2$

Step 4

Divide each term in $13 t = 3 k + 2$ by $13$ and simplify.

Tap for more steps...

Step 4.1

Divide each term in $13 t = 3 k + 2$ by $13$ .

$\frac{13 t}{13} = \frac{3 k}{13} + \frac{2}{13}$

Step 4.2

Simplify the left side.

Tap for more steps...

Step 4.2.1

Cancel the common factor of $13$ .

Tap for more steps...

Step 4.2.1.1

Cancel the common factor.

$\frac{13 t}{13} = \frac{3 k}{13} + \frac{2}{13}$

Step 4.2.1.2

Divide $t$ by $1$ .

$t = \frac{3 k}{13} + \frac{2}{13}$

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.

$f (k) = \frac{3 k}{13} + \frac{2}{13}$