Question
Solve the formula for the indicated variable. \[ A=x v+q \text {, for } v \] The solution is \( v=\square \).
Ask by Osborne Norton. in the United States
Feb 26,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
\( v = \frac{A - q}{x} \)
Solution
We start with the equation:
A = x·v + q
Step 1: Subtract q from both sides to isolate the term with v.
A - q = x·v
Step 2: Divide both sides by x (assuming x ≠ 0) to solve for v.
v = (A - q) / x
Thus, the solution is:
v = (A - q) / x
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Simplify this solution Extra Insights
To solve for \( v \) in the equation \( A = xv + q \), we first isolate the term involving \( v \). Subtract \( q \) from both sides to get \( A - q = xv \). Next, we divide both sides by \( x \) to solve for \( v \). Thus, the solution is \( v = \frac{A - q}{x} \). But wait! It’s a good idea to double-check if \( x \) is not zero before dividing. Because remember, division by zero is a no-go zone in math!
