Write as a Function of x 3x-6y=-6x+5y

$3 x - 6 y = - 6 x + 5 y$

Step 1

Move all terms containing $y$ to the left side of the equation.

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

$3 x - 6 y - 5 y = - 6 x$

Subtract $5 y$ from $- 6 y$ .

$3 x - 11 y = - 6 x$

Step 2

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

Subtract $3 x$ from both sides of the equation.

$- 11 y = - 6 x - 3 x$

Subtract $3 x$ from $- 6 x$ .

$- 11 y = - 9 x$

Step 3

Divide each term in $- 11 y = - 9 x$ by $- 11$ and simplify.

Divide each term in $- 11 y = - 9 x$ by $- 11$ .

$\frac{- 11 y}{- 11} = \frac{- 9 x}{- 11}$

Simplify the left side.

Cancel the common factor of $- 11$ .

Cancel the common factor.

$\frac{- 11 y}{- 11} = \frac{- 9 x}{- 11}$

Divide $y$ by $1$ .

$y = \frac{- 9 x}{- 11}$

Simplify the right side.

Dividing two negative values results in a positive value.

$y = \frac{9 x}{11}$

Step 4

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

$f (x) = \frac{9 x}{11}$

Write as a Function of x 3x-6y=-6x+5y

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