Evaluate Using the Given Value 3x+3y+332x+2y=22

$3 x + 3 y + 332 x + 2 y = 22$

Step 1

Simplify $3 x + 3 y + 332 x + 2 y$ .

Add $3 x$ and $332 x$ .

$335 x + 3 y + 2 y = 22$

Add $3 y$ and $2 y$ .

$335 x + 5 y = 22$

Step 2

Subtract $5 y$ from both sides of the equation.

$335 x = 22 - 5 y$

Step 3

Divide each term in $335 x = 22 - 5 y$ by $335$ and simplify.

Divide each term in $335 x = 22 - 5 y$ by $335$ .

$\frac{335 x}{335} = \frac{22}{335} + \frac{- 5 y}{335}$

Simplify the left side.

Cancel the common factor of $335$ .

Cancel the common factor.

$\frac{335 x}{335} = \frac{22}{335} + \frac{- 5 y}{335}$

Divide $x$ by $1$ .

$x = \frac{22}{335} + \frac{- 5 y}{335}$

Simplify the right side.

Simplify each term.

Cancel the common factor of $- 5$ and $335$ .

Factor $5$ out of $- 5 y$ .

$x = \frac{22}{335} + \frac{5 (- y)}{335}$

Cancel the common factors.

Factor $5$ out of $335$ .

$x = \frac{22}{335} + \frac{5 (- y)}{5 (67)}$

Cancel the common factor.

$x = \frac{22}{335} + \frac{5 (- y)}{5 \cdot 67}$

Rewrite the expression.

$x = \frac{22}{335} + \frac{- y}{67}$

Move the negative in front of the fraction.

$x = \frac{22}{335} - \frac{y}{67}$