Write as a Function of x 6x-3y=2

$6 x - 3 y = 2$

Step 1

Subtract $6 x$ from both sides of the equation.

$- 3 y = 2 - 6 x$

Step 2

Divide each term in $- 3 y = 2 - 6 x$ by $- 3$ and simplify.

Divide each term in $- 3 y = 2 - 6 x$ by $- 3$ .

$\frac{- 3 y}{- 3} = \frac{2}{- 3} + \frac{- 6 x}{- 3}$

Simplify the left side.

Cancel the common factor of $- 3$ .

Cancel the common factor.

$\frac{- 3 y}{- 3} = \frac{2}{- 3} + \frac{- 6 x}{- 3}$

Divide $y$ by $1$ .

$y = \frac{2}{- 3} + \frac{- 6 x}{- 3}$

Simplify the right side.

Simplify each term.

Move the negative in front of the fraction.

$y = - \frac{2}{3} + \frac{- 6 x}{- 3}$

Cancel the common factor of $- 6$ and $- 3$ .

Factor $- 3$ out of $- 6 x$ .

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

Cancel the common factors.

Factor $- 3$ out of $- 3$ .

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

Cancel the common factor.

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

Rewrite the expression.

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

Divide $2 x$ by $1$ .

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

Step 3

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.

$f (x) = - \frac{2}{3} + 2 x$

Write as a Function of x 6x-3y=2

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