Pre-Algebra Examples

$- 2 x + 5 y = 10$

Step 1

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

$5 y = 10 + 2 x$

Step 2

Divide each term in $5 y = 10 + 2 x$ by $5$ and simplify.

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Step 2.1

Divide each term in $5 y = 10 + 2 x$ by $5$ .

$\frac{5 y}{5} = \frac{10}{5} + \frac{2 x}{5}$

Step 2.2

Simplify the left side.

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Step 2.2.1

Cancel the common factor of $5$ .

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Step 2.2.1.1

Cancel the common factor.

$\frac{5 y}{5} = \frac{10}{5} + \frac{2 x}{5}$

Step 2.2.1.2

Divide $y$ by $1$ .

$y = \frac{10}{5} + \frac{2 x}{5}$

Step 2.3

Simplify the right side.

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Step 2.3.1

Divide $10$ by $5$ .

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

Step 3

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

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