Pre-Algebra Examples

$3 y = 2 x + 5$

Step 1

Divide each term in $3 y = 2 x + 5$ by $3$ and simplify.

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Step 1.1

Divide each term in $3 y = 2 x + 5$ by $3$ .

$\frac{3 y}{3} = \frac{2 x}{3} + \frac{5}{3}$

Step 1.2

Simplify the left side.

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Step 1.2.1

Cancel the common factor of $3$ .

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Step 1.2.1.1

Cancel the common factor.

$\frac{3 y}{3} = \frac{2 x}{3} + \frac{5}{3}$

Step 1.2.1.2

Divide $y$ by $1$ .

$y = \frac{2 x}{3} + \frac{5}{3}$

Step 2

The given equation $y = \frac{2 x}{3} + \frac{5}{3}$ can not be written as $y = k x^{2}$ , so $y$ doesn't vary directly with $x^{2}$ .

$y$ doesn't vary directly with $x$