Solve in Terms of the Arbitrary Variable R I=(R-U)/S

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

Solve the equation for $U$ .

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

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

Multiply both sides of the equation by $S$ .

$R - U = I \cdot (S)$

Remove parentheses.

$R - U = I \cdot (S)$

Multiply $I$ by $S$ .

$R - U = I S$

Subtract $R$ from both sides of the equation.

$- U = I S - R$

Multiply each term in $- U = I S - R$ by $- 1$

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Multiply each term in $- U = I S - R$ by $- 1$ .

$(- U) \cdot - 1 = I S \cdot - 1 + (- R) \cdot - 1$

Multiply $(- U) \cdot - 1$ .

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Multiply $- 1$ by $- 1$ .

$1 U = I S \cdot - 1 + (- R) \cdot - 1$

Multiply $U$ by $1$ .

$U = I S \cdot - 1 + (- R) \cdot - 1$

Simplify each term.

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Move $- 1$ to the left of $I S$ .

$U = - 1 \cdot (I S) + (- R) \cdot - 1$

Rewrite $- 1 (I S)$ as $- (I S)$ .

$U = - (I S) + (- R) \cdot - 1$

Multiply $(- R) \cdot - 1$ .

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Multiply $- 1$ by $- 1$ .

$U = - I S + 1 R$

Multiply $R$ by $1$ .

$U = - I S + R$

Solve the equation for $S$ .

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

$\frac{R - (- I S + R)}{S} = I$

Factor each term.

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Apply the distributive property.

$\frac{R - (- I S) - R}{S} = I$

Multiply $- (- I S)$ .

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Multiply $- 1$ by $- 1$ .

$\frac{R + 1 (I S) - R}{S} = I$

Multiply $I$ by $1$ .

$\frac{R + I S - R}{S} = I$

Subtract $R$ from $R$ .

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

Add $I S$ and $0$ .

$\frac{I S}{S} = I$

Reduce the expression by cancelling the common factors.

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

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Cancel the common factor.

$\frac{I S}{S} = I$

Rewrite the expression.

$\frac{I}{1} = I$

Divide $I$ by $1$ .

$I = I$

Solve in Terms of the Arbitrary Variable R I=(R-U)/S

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