How to solve 1/5 = x/(16 + u)

1. Factor the equation (x + 2)(x + 3) = 0. 2. Set each factor equal to zero: x + 2 = 0 and x + 3 = 0. 3. Solve for x: x = -2 and x = -3.

Solve 1/5 = x/(16 + u) | Equatix

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Question

$$\frac{1}{5}=\frac{x}{16+u}$$

Solve for u

$u=5x-16$
$x\neq 0$

Solution Steps

Variable $u$ cannot be equal to $-16$ since division by zero is not defined. Multiply both sides of the equation by $5\left(u+16\right)$, the least common multiple of $5,16+u$.

$$u+16=5x$$

Subtract $16$ from both sides.

$$u=5x-16$$

Variable $u$ cannot be equal to $-16$.

$$u=5x-16\text{, }u\neq -16$$

Show Solution

Solve for x

$x=\frac{u+16}{5}$
$u\neq -16$

Steps for Solving Linear Equation

Multiply both sides of the equation by $5\left(u+16\right)$, the least common multiple of $5,16+u$.