Finite Math Examples

$2 x - 2 y = 10$

Step 1

Add $2 y$ to both sides of the equation.

$2 x = 10 + 2 y$

Step 2

Divide each term in $2 x = 10 + 2 y$ by $2$ and simplify.

Tap for more steps...

Step 2.1

Divide each term in $2 x = 10 + 2 y$ by $2$ .

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

Step 2.2

Simplify the left side.

Tap for more steps...

Step 2.2.1

Cancel the common factor of $2$ .

Tap for more steps...

Step 2.2.1.1

Cancel the common factor.

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

Step 2.2.1.2

Divide $x$ by $1$ .

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

Step 2.3

Simplify the right side.

Tap for more steps...

Step 2.3.1

Simplify each term.

Tap for more steps...

Step 2.3.1.1

Divide $10$ by $2$ .

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

Step 2.3.1.2

Cancel the common factor of $2$ .

Tap for more steps...

Step 2.3.1.2.1

Cancel the common factor.

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

Step 2.3.1.2.2

Divide $y$ by $1$ .

$x = 5 + y$

Step 3

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

$f = 5 + y$