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

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

Step 1

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

Add $6 y$ to both sides of the equation.

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

Add $5 y$ and $6 y$ .

$- 5 x + 11 y = x$

Step 2

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

Add $5 x$ to both sides of the equation.

$11 y = x + 5 x$

Add $x$ and $5 x$ .

$11 y = 6 x$

Step 3

Divide each term in $11 y = 6 x$ by $11$ and simplify.

Divide each term in $11 y = 6 x$ by $11$ .

$\frac{11 y}{11} = \frac{6 x}{11}$

Simplify the left side.

Cancel the common factor of $11$ .

Cancel the common factor.

$\frac{11 y}{11} = \frac{6 x}{11}$

Divide $y$ by $1$ .

$y = \frac{6 x}{11}$

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.

$f (x) = \frac{6 x}{11}$

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

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