Algebra Examples

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

Step 1

Multiply both sides by $5$ .

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

Step 2

Simplify.

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Step 2.1

Simplify the left side.

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Step 2.1.1

Cancel the common factor of $5$ .

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Step 2.1.1.1

Cancel the common factor.

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

Step 2.1.1.2

Rewrite the expression.

$- 2 x + y = 5 \cdot 5$

Step 2.2

Simplify the right side.

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Step 2.2.1

Multiply $5$ by $5$ .

$- 2 x + y = 25$

Step 3

Add $2 x$ to both sides of the equation.

$y = 25 + 2 x$

Step 4

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.

$f (x) = 25 + 2 x$