Algebra Examples

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

Step 1

Move all the expressions to the left side of the equation.

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Step 1.1

Subtract $\frac{9}{s}$ from both sides of the equation.

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

Step 1.2

Subtract $6$ from both sides of the equation.

$31 - \frac{9}{s} - 6 = 0$

Step 2

Subtract $6$ from $31$ .

$- \frac{9}{s} + 25 = 0$

Step 3

To write $25$ as a fraction with a common denominator, multiply by $\frac{s}{s}$ .

$- \frac{9}{s} + \frac{25 s}{s} = 0$

Step 4

Combine the numerators over the common denominator.

$\frac{- 9 + 25 s}{s} = 0$

Step 5

Set the numerator equal to zero.

$- 9 + 25 s = 0$

Step 6

Solve the equation for $s$ .

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Step 6.1

Add $9$ to both sides of the equation.

$25 s = 9$

Step 6.2

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

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Step 6.2.1

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

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

Step 6.2.2

Simplify the left side.

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Step 6.2.2.1

Cancel the common factor of $25$ .

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Step 6.2.2.1.1

Cancel the common factor.

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

Step 6.2.2.1.2

Divide $s$ by $1$ .

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