Make c the subject of formula v = 1 - \(\frac{a}{5}\)(b + \(\frac{3c}{7}\))
A
[\(\frac{7}{3}\) + \(\frac{5}{a}\)(v - 1)] + b
B
[\(\frac{7b}{3}\) + \(\frac{5}{a}\)(v - 1)]
C
\(\frac{-7}{3}\)[b + \(\frac{5}{a}\)(v - 1)]
D
\(\frac{7}{3}\)[b + \(\frac{5v - 1}{a}\)]
Verified Correct Answer: C.
Step-by-Step Mathematical Solution
v = 1 - \(\frac{a}{5}\)(b + \(\frac{3c}{7}\))
V - 1 = - \(\frac{a}{5}\)(b + \(\frac{3c}{7}\))
Multiply both sides by -1
1 - V = \(\frac{a}{5}\)(b + \(\frac{3c}{7}\))
Multiply both sides by \(\frac{5}{\text{a}}\)
\(\frac{a}{5}\)(1 - V) = b + \(\frac{3c}{7}\)
\(\frac{a}{5}\)(1 - V) - b = \(\frac{3c}{7}\)
Multiply both sides by \(\frac{7}{3}\)
\(\frac{7}{3}\)( \(\frac{a}{5}\)(1 - V) - b) = c
- \(\frac{7}{3}\)(\(\frac{a}{5}\)(V - 1) + b)
Source: Myschool Past Questions Archive (Record #32619)