Question

1. the correct first step to isolate $y$ in $vy - w = x$ is:

a. divide by $v$
b. multiply by $v$
c. subtract $w$ from both sides
d. add $w$ to both sides

Explanation:

Step1: Identify goal: isolate $vy$ first

To isolate $y$, we first need to get the term with $y$ ($vy$) alone on one side of the equation.

Step2: Eliminate $-w$ from left side

The left side has $vy - w$, so we reverse the subtraction of $w$ by adding $w$ to both sides.
<Expression>
$vy - w + w = x + w$
</Expression>
Simplifies to:
$vy = x + w$
After this step, we can then divide by $v$ to isolate $y$, but the first step is adding $w$ to both sides.

Answer:

d. Add w to both sides