Question

jamarion bruce
q3 - accelerated mathematics g... | unit test
target due:1/28/26 0%
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1. to isolate $u$ in $\frac{u+v}{w}=x$, start by:

a. adding $v$ to both sides
b. multiplying both sides by $w$
c. dividing both sides by $x$
d. subtracting $v$ from both sides

Explanation:

Step1: Analyze the isolation goal

We need to isolate $u$ from $\frac{u+v}{w}=x$. First, we need to eliminate the denominator $w$ to simplify the left-hand side.

Step2: Evaluate each option

• Option a: Adding $v$ to both sides gives $\frac{u+v}{w}+v = x+v$, which does not help isolate $u$.
• Option b: Multiplying both sides by $w$ gives $\frac{u+v}{w} \times w = x \times w$, simplifying to $u+v = xw$. This is the first necessary step to start isolating $u$.
• Option c: Dividing both sides by $x$ gives $\frac{u+v}{wx} = 1$, which complicates the equation instead of simplifying it.
• Option d: Subtracting $v$ from both sides gives $\frac{u+v}{w}-v = x-v$, which does not remove the denominator and does not help isolate $u$.

Answer:

b. Multiplying both sides by $w$