Algebra Examples

5 x + 10 = 10 y

$5 x + 10 = 10 y$

Step 1

Rewrite the equation as

10 y = 5 x + 10

$10 y = 5 x + 10$ .

10 y = 5 x + 10

$10 y = 5 x + 10$

Step 2

Divide each term in

10 y = 5 x + 10

$10 y = 5 x + 10$ by

10

$10$ and simplify.

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Step 2.1

Divide each term in

10 y = 5 x + 10

$10 y = 5 x + 10$ by

10

$10$ .

\frac{10 y}{10} = \frac{5 x}{10} + \frac{10}{10}

$\frac{10 y}{10} = \frac{5 x}{10} + \frac{10}{10}$

Step 2.2

Simplify the left side.

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Step 2.2.1

Cancel the common factor of

10

$10$ .

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Step 2.2.1.1

Cancel the common factor.

\frac{10 y}{10} = \frac{5 x}{10} + \frac{10}{10}

$\frac{10 y}{10} = \frac{5 x}{10} + \frac{10}{10}$

Step 2.2.1.2

Divide

y

$y$ by

1

$1$ .

y = \frac{5 x}{10} + \frac{10}{10}

$y = \frac{5 x}{10} + \frac{10}{10}$

y = \frac{5 x}{10} + \frac{10}{10}

$y = \frac{5 x}{10} + \frac{10}{10}$

y = \frac{5 x}{10} + \frac{10}{10}

$y = \frac{5 x}{10} + \frac{10}{10}$

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

Cancel the common factor of

5

$5$ and

10

$10$ .

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Step 2.3.1.1.1

Factor

5

$5$ out of

5 x

$5 x$ .

y = \frac{5 (x)}{10} + \frac{10}{10}

$y = \frac{5 (x)}{10} + \frac{10}{10}$

Step 2.3.1.1.2

Cancel the common factors.

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Step 2.3.1.1.2.1

Factor

5

$5$ out of

10

$10$ .

y = \frac{5 x}{5 \cdot 2} + \frac{10}{10}

$y = \frac{5 x}{5 \cdot 2} + \frac{10}{10}$

Step 2.3.1.1.2.2

Cancel the common factor.

y = \frac{5 x}{5 \cdot 2} + \frac{10}{10}

$y = \frac{5 x}{5 \cdot 2} + \frac{10}{10}$

Step 2.3.1.1.2.3

Rewrite the expression.

y = \frac{x}{2} + \frac{10}{10}

$y = \frac{x}{2} + \frac{10}{10}$

y = \frac{x}{2} + \frac{10}{10}

$y = \frac{x}{2} + \frac{10}{10}$

y = \frac{x}{2} + \frac{10}{10}

$y = \frac{x}{2} + \frac{10}{10}$

Step 2.3.1.2

Divide

10

$10$ by

10

$10$ .

y = \frac{x}{2} + 1

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

y = \frac{x}{2} + 1

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

y = \frac{x}{2} + 1

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

y = \frac{x}{2} + 1

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

5 x + 10 = 10 y

$5 x + 10 = 10 y$

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

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