Finite Math Examples

$(120 - x) + y = 150$

Step 1

Move all terms not containing $x$ to the right side of the equation.

Tap for more steps...

Step 1.1

Subtract $120$ from both sides of the equation.

$- x + y = 150 - 120$

Step 1.2

Subtract $y$ from both sides of the equation.

$- x = 150 - 120 - y$

Step 1.3

Subtract $120$ from $150$ .

$- x = 30 - y$

Step 2

Divide each term in $- x = 30 - y$ by $- 1$ and simplify.

Tap for more steps...

Step 2.1

Divide each term in $- x = 30 - y$ by $- 1$ .

$\frac{- x}{- 1} = \frac{30}{- 1} + \frac{- y}{- 1}$

Step 2.2

Simplify the left side.

Tap for more steps...

Step 2.2.1

Dividing two negative values results in a positive value.

$\frac{x}{1} = \frac{30}{- 1} + \frac{- y}{- 1}$

Step 2.2.2

Divide $x$ by $1$ .

$x = \frac{30}{- 1} + \frac{- y}{- 1}$

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 $30$ by $- 1$ .

$x = - 30 + \frac{- y}{- 1}$

Step 2.3.1.2

Dividing two negative values results in a positive value.

$x = - 30 + \frac{y}{1}$

Step 2.3.1.3

Divide $y$ by $1$ .

$x = - 30 + y$