Finite Math Examples

$2 x - 2 y = 6$

Step 1

Subtract $2 x$ from both sides of the equation.

$- 2 y = 6 - 2 x$

Step 2

Divide each term in $- 2 y = 6 - 2 x$ by $- 2$ and simplify.

Tap for more steps...

Step 2.1

Divide each term in $- 2 y = 6 - 2 x$ by $- 2$ .

$\frac{- 2 y}{- 2} = \frac{6}{- 2} + \frac{- 2 x}{- 2}$

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.

$\frac{- 2 y}{- 2} = \frac{6}{- 2} + \frac{- 2 x}{- 2}$

Step 2.2.1.2

Divide $y$ by $1$ .

$y = \frac{6}{- 2} + \frac{- 2 x}{- 2}$

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 $6$ by $- 2$ .

$y = - 3 + \frac{- 2 x}{- 2}$

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.

$y = - 3 + \frac{- 2 x}{- 2}$

Step 2.3.1.2.2

Divide $x$ by $1$ .

$y = - 3 + x$

Step 3

Set $- 3 + x$ equal to $0$ .

$- 3 + x = 0$

Step 4

Add $3$ to both sides of the equation.

$x = 3$ (Multiplicity of $1$ )

Step 5