Algebra Examples

$Q = \frac{R - U}{S}$

Step 1

Solve the equation for $R$ .

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Rewrite the equation as $\frac{R - U}{S} = Q$ .

$\frac{R - U}{S} = Q$

Multiply both sides by $S$ .

$\frac{R - U}{S} S = Q S$

Simplify the left side.

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Cancel the common factor of $S$ .

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Cancel the common factor.

$\frac{R - U}{S} S = Q S$

Rewrite the expression.

$R - U = Q S$

Add $U$ to both sides of the equation.

$R = Q S + U$

Step 2

Solve the equation for $S$ .

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Rewrite the equation as $\frac{(Q S + U) - U}{S} = Q$ .

$\frac{(Q S + U) - U}{S} = Q$

Factor each term.

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Remove parentheses.

$\frac{Q S + U - U}{S} = Q$

Subtract $U$ from $U$ .

$\frac{Q S + 0}{S} = Q$

Add $Q S$ and $0$ .

$\frac{Q S}{S} = Q$

Reduce the expression by cancelling the common factors.

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Reduce the expression $\frac{Q S}{S}$ by cancelling the common factors.

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Cancel the common factor.

$\frac{Q S}{S} = Q$

Rewrite the expression.

$\frac{Q}{1} = Q$

Divide $Q$ by $1$ .

$Q = Q$

Solve the equation.

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Move all terms containing $Q$ to the left side of the equation.

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Subtract $Q$ from both sides of the equation.

$Q - Q = 0$

Subtract $Q$ from $Q$ .

$0 = 0$

Since $0 = 0$ , the equation will always be true.

Always true