Algebra Examples

$5 x = y^{2}$

Step 1

Divide each term in $5 x = y^{2}$ by $5$ and simplify.

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Step 1.1

Divide each term in $5 x = y^{2}$ by $5$ .

$\frac{5 x}{5} = \frac{y^{2}}{5}$

Step 1.2

Simplify the left side.

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Step 1.2.1

Cancel the common factor of $5$ .

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Step 1.2.1.1

Cancel the common factor.

$\frac{5 x}{5} = \frac{y^{2}}{5}$

Step 1.2.1.2

Divide $x$ by $1$ .

$x = \frac{y^{2}}{5}$

Step 2

To rewrite as a function of $y$ , write the equation so that $x$ is by itself on one side of the equal sign and an expression involving only $y$ is on the other side.

$f (y) = \frac{y^{2}}{5}$