Algebra Examples

$31 = \frac{9}{s} + 6$

Step 1

Rewrite the equation as $\frac{9}{s} + 6 = 31$ .

$\frac{9}{s} + 6 = 31$

Step 2

Move all terms not containing $s$ to the right side of the equation.

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Subtract $6$ from both sides of the equation.

$\frac{9}{s} = 31 - 6$

Subtract $6$ from $31$ .

$\frac{9}{s} = 25$

Step 3

Find the LCD of the terms in the equation.

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Finding the LCD of a list of values is the same as finding the LCM of the denominators of those values.

$s, 1$

The LCM of one and any expression is the expression.

$s$

Step 4

Multiply each term in $\frac{9}{s} = 25$ by $s$ to eliminate the fractions.

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Multiply each term in $\frac{9}{s} = 25$ by $s$ .

$\frac{9}{s} s = 25 s$

Simplify the left side.

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Cancel the common factor of $s$ .

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Cancel the common factor.

$\frac{9}{s} s = 25 s$

Rewrite the expression.

$9 = 25 s$

Step 5

Solve the equation.

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Rewrite the equation as $25 s = 9$ .

$25 s = 9$

Divide each term in $25 s = 9$ by $25$ and simplify.

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Divide each term in $25 s = 9$ by $25$ .

$\frac{25 s}{25} = \frac{9}{25}$

Simplify the left side.

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Cancel the common factor of $25$ .

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Cancel the common factor.

$\frac{25 s}{25} = \frac{9}{25}$

Divide $s$ by $1$ .

$s = \frac{9}{25}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$s = \frac{9}{25}$

Decimal Form:

$s = 0.36$