Algebra Examples

x = \frac{y}{z}

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

Step 1

Rewrite the equation as

\frac{y}{z} = x

$\frac{y}{z} = x$ .

\frac{y}{z} = x

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

Step 2

Find the LCD of the terms in the equation.

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Step 2.1

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

z, 1

$z, 1$

Step 2.2

The LCM of one and any expression is the expression.

z

$z$

z

$z$

Step 3

Multiply each term in

\frac{y}{z} = x

$\frac{y}{z} = x$ by

z

$z$ to eliminate the fractions.

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Step 3.1

Multiply each term in

\frac{y}{z} = x

$\frac{y}{z} = x$ by

z

$z$ .

\frac{y}{z} z = x z

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

Step 3.2

Simplify the left side.

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Step 3.2.1

Cancel the common factor of

z

$z$ .

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Step 3.2.1.1

Cancel the common factor.

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

Step 3.2.1.2

Rewrite the expression.

$y = x z$

Step 4

Solve the equation.

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Step 4.1

Rewrite the equation as

$x z = y$ .

$x z = y$

Step 4.2

Divide each term in

$x z = y$ by

$x$ and simplify.

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Step 4.2.1

Divide each term in

$x z = y$ by

$x$ .

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

Step 4.2.2

Simplify the left side.

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Step 4.2.2.1

Cancel the common factor of

$x$ .

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Step 4.2.2.1.1

Cancel the common factor.

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

Step 4.2.2.1.2

Divide

$z$ by

$1$ .

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

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

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