Write as a Function of x -6x^2+5y=x-4y

$- 6 x^{2} + 5 y = x - 4 y$

Step 1

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

Add $4 y$ to both sides of the equation.

$- 6 x^{2} + 5 y + 4 y = x$

Add $5 y$ and $4 y$ .

$- 6 x^{2} + 9 y = x$

Step 2

Add $6 x^{2}$ to both sides of the equation.

$9 y = x + 6 x^{2}$

Step 3

Divide each term in $9 y = x + 6 x^{2}$ by $9$ and simplify.

Divide each term in $9 y = x + 6 x^{2}$ by $9$ .

$\frac{9 y}{9} = \frac{x}{9} + \frac{6 x^{2}}{9}$

Simplify the left side.

Cancel the common factor of $9$ .

Cancel the common factor.

$\frac{9 y}{9} = \frac{x}{9} + \frac{6 x^{2}}{9}$

Divide $y$ by $1$ .

$y = \frac{x}{9} + \frac{6 x^{2}}{9}$

Simplify the right side.

Cancel the common factor of $6$ and $9$ .

Factor $3$ out of $6 x^{2}$ .

$y = \frac{x}{9} + \frac{3 (2 x^{2})}{9}$

Cancel the common factors.

Factor $3$ out of $9$ .

$y = \frac{x}{9} + \frac{3 (2 x^{2})}{3 (3)}$

Cancel the common factor.

$y = \frac{x}{9} + \frac{3 (2 x^{2})}{3 \cdot 3}$

Rewrite the expression.

$y = \frac{x}{9} + \frac{2 x^{2}}{3}$

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.

$f (x) = \frac{x}{9} + \frac{2 x^{2}}{3}$

Write as a Function of x -6x^2+5y=x-4y

Related Questions

Support LCMGCF.com by disabling your adblocker.