Write as a Function of x x=4/y

$x = \frac{4}{y}$

Step 1

Rewrite the equation as $\frac{4}{y} = x$ .

$\frac{4}{y} = x$

Step 2

Find the LCD of the terms in the equation.

Finding the LCD of a list of values is the same as finding the LCM of the denominators of those values.

$y, 1$

The LCM of one and any expression is the expression.

$y$

Step 3

Multiply each term in $\frac{4}{y} = x$ by $y$ to eliminate the fractions.

Multiply each term in $\frac{4}{y} = x$ by $y$ .

$\frac{4}{y} y = x y$

Simplify the left side.

Cancel the common factor of $y$ .

Cancel the common factor.

$\frac{4}{y} y = x y$

Rewrite the expression.

$4 = x y$

Step 4

Solve the equation.

Rewrite the equation as $x y = 4$ .

$x y = 4$

Divide each term in $x y = 4$ by $x$ and simplify.

Divide each term in $x y = 4$ by $x$ .

$\frac{x y}{x} = \frac{4}{x}$

Simplify the left side.

Cancel the common factor of $x$ .

Cancel the common factor.

$\frac{x y}{x} = \frac{4}{x}$

Divide $y$ by $1$ .

$y = \frac{4}{x}$

Step 5

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.

$f (x) = \frac{4}{x}$

Write as a Function of x x=4/y

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