Algebra Examples

$x - 2 y = 10$

Step 1

Subtract $x$ from both sides of the equation.

$- 2 y = 10 - x$

Step 2

Divide each term in $- 2 y = 10 - x$ by $- 2$ and simplify.

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Step 2.1

Divide each term in $- 2 y = 10 - x$ by $- 2$ .

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

Step 2.2

Simplify the left side.

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Step 2.2.1

Cancel the common factor of $- 2$ .

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Step 2.2.1.1

Cancel the common factor.

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

Step 2.2.1.2

Divide $y$ by $1$ .

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

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 $10$ by $- 2$ .

$y = - 5 + \frac{- x}{- 2}$

Step 2.3.1.2

Dividing two negative values results in a positive value.

$y = - 5 + \frac{x}{2}$

Step 3

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.

$f (x) = - 5 + \frac{x}{2}$

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