Precalculus Examples

$y = 3 g (x + 2) + 1$

Step 1

Rewrite the equation as $3 g (x + 2) + 1 = y$ .

$3 g (x + 2) + 1 = y$

Step 2

Simplify each term.

Tap for more steps...

Step 2.1

Apply the distributive property.

$3 g x + 3 g \cdot 2 + 1 = y$

Step 2.2

Multiply $2$ by $3$ .

$3 g x + 6 g + 1 = y$

Step 3

Subtract $1$ from both sides of the equation.

$3 g x + 6 g = y - 1$

Step 4

Factor $3 g$ out of $3 g x + 6 g$ .

Tap for more steps...

Step 4.1

Factor $3 g$ out of $3 g x$ .

$3 g (x) + 6 g = y - 1$

Step 4.2

Factor $3 g$ out of $6 g$ .

$3 g (x) + 3 g (2) = y - 1$

Step 4.3

Factor $3 g$ out of $3 g (x) + 3 g (2)$ .

$3 g (x + 2) = y - 1$

Step 5

Divide each term in $3 g (x + 2) = y - 1$ by $3 (x + 2)$ and simplify.

Tap for more steps...

Step 5.1

Divide each term in $3 g (x + 2) = y - 1$ by $3 (x + 2)$ .

$\frac{3 g (x + 2)}{3 (x + 2)} = \frac{y}{3 (x + 2)} + \frac{- 1}{3 (x + 2)}$

Step 5.2

Simplify the left side.

Tap for more steps...

Step 5.2.1

Cancel the common factor of $3$ .

Tap for more steps...

Step 5.2.1.1

Cancel the common factor.

$\frac{3 g (x + 2)}{3 (x + 2)} = \frac{y}{3 (x + 2)} + \frac{- 1}{3 (x + 2)}$

Step 5.2.1.2

Rewrite the expression.

$\frac{g (x + 2)}{x + 2} = \frac{y}{3 (x + 2)} + \frac{- 1}{3 (x + 2)}$

Step 5.2.2

Cancel the common factor of $x + 2$ .

Tap for more steps...

Step 5.2.2.1

Cancel the common factor.

$\frac{g (x + 2)}{x + 2} = \frac{y}{3 (x + 2)} + \frac{- 1}{3 (x + 2)}$

Step 5.2.2.2

Divide $g$ by $1$ .

$g = \frac{y}{3 (x + 2)} + \frac{- 1}{3 (x + 2)}$

Step 5.3

Simplify the right side.

Tap for more steps...

Step 5.3.1

Move the negative in front of the fraction.

$g = \frac{y}{3 (x + 2)} - \frac{1}{3 (x + 2)}$