Algebra Examples

$7 x = 2 y - 9$

Step 1

Rewrite the equation as $2 y - 9 = 7 x$ .

$2 y - 9 = 7 x$

Step 2

Add $9$ to both sides of the equation.

$2 y = 7 x + 9$

Step 3

Divide each term in $2 y = 7 x + 9$ by $2$ and simplify.

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Step 3.1

Divide each term in $2 y = 7 x + 9$ by $2$ .

$\frac{2 y}{2} = \frac{7 x}{2} + \frac{9}{2}$

Step 3.2

Simplify the left side.

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Step 3.2.1

Cancel the common factor of $2$ .

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Step 3.2.1.1

Cancel the common factor.

$\frac{2 y}{2} = \frac{7 x}{2} + \frac{9}{2}$

Step 3.2.1.2

Divide $y$ by $1$ .

$y = \frac{7 x}{2} + \frac{9}{2}$

Step 4

When solving for $y$ , $y = \frac{7 x}{2} + \frac{9}{2}$ , so $y$ doesn't vary directly with $x$ .

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