Algebra Examples

$5 x + 6 y = 30$

Step 1

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

$5 x = 30 - 6 y$

Step 2

Divide each term in $5 x = 30 - 6 y$ by $5$ and simplify.

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Step 2.1

Divide each term in $5 x = 30 - 6 y$ by $5$ .

$\frac{5 x}{5} = \frac{30}{5} + \frac{- 6 y}{5}$

Step 2.2

Simplify the left side.

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Step 2.2.1

Cancel the common factor of $5$ .

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Step 2.2.1.1

Cancel the common factor.

$\frac{5 x}{5} = \frac{30}{5} + \frac{- 6 y}{5}$

Step 2.2.1.2

Divide $x$ by $1$ .

$x = \frac{30}{5} + \frac{- 6 y}{5}$

$x = \frac{30}{5} + \frac{- 6 y}{5}$

$x = \frac{30}{5} + \frac{- 6 y}{5}$

Step 2.3

Simplify the right side.

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Step 2.3.1

Simplify each term.

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Step 2.3.1.1

Divide $30$ by $5$ .

$x = 6 + \frac{- 6 y}{5}$

Step 2.3.1.2

Move the negative in front of the fraction.

$x = 6 - \frac{6 y}{5}$

$x = 6 - \frac{6 y}{5}$

$x = 6 - \frac{6 y}{5}$

$x = 6 - \frac{6 y}{5}$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$