Linear Algebra Examples

$\frac{s}{4} + 9 = 2$

Step 1

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

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Step 1.1

Subtract $9$ from both sides of the equation.

$\frac{s}{4} = 2 - 9$

Step 1.2

Subtract $9$ from $2$ .

$\frac{s}{4} = - 7$

Step 2

Multiply both sides of the equation by $4$ .

$4 \frac{s}{4} = 4 \cdot - 7$

Step 3

Simplify both sides of the equation.

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Step 3.1

Simplify the left side.

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Step 3.1.1

Cancel the common factor of $4$ .

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Step 3.1.1.1

Cancel the common factor.

$4 \frac{s}{4} = 4 \cdot - 7$

Step 3.1.1.2

Rewrite the expression.

$s = 4 \cdot - 7$

Step 3.2

Simplify the right side.

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Step 3.2.1

Multiply $4$ by $- 7$ .

$s = - 28$

Step 4

The domain is the set of all valid $s$ values.

${s | s = - 28}$

Step 5