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Examples

x - 1 = 2 y

$x - 1 = 2 y$

Step 1

Rewrite the equation as

2 y = x - 1

$2 y = x - 1$ .

2 y = x - 1

$2 y = x - 1$

Step 2

Divide each term in

2 y = x - 1

$2 y = x - 1$ by

2

$2$ and simplify.

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Step 2.1

Divide each term in

2 y = x - 1

$2 y = x - 1$ by

2

$2$ .

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

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

Step 2.2

Simplify the left side.

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Step 2.2.1

Cancel the common factor of

2

$2$ .

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Step 2.2.1.1

Cancel the common factor.

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

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

Step 2.2.1.2

Divide

y

$y$ by

1

$1$ .

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

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

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

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

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

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

Step 2.3

Simplify the right side.

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Step 2.3.1

Move the negative in front of the fraction.

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

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

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

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

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

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

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

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