C.18 Rearrange multi-variable equations

Question

WSJ
Solve for p in terms of q, r, s, and t.
ts=
–
qpr
p=

Answer 1

To rearrange the equation \( ts = -qpr \) and solve for \( p \) in terms of \( q, r, s, \) and \( t \), follow these steps:

1. Start with the equation: \[ ts = -qpr \]

2. Divide both sides by \( -qr \) (assuming \( q \) and \( r \) are not equal to zero): \[ \frac{ts}{-qr} = p \]

3. This can be rewritten as: \[ p = -\frac{ts}{qr} \]

So, the final solution for \( p \) in terms of \( q, r, s, \) and \( t \) is: \[ p = -\frac{ts}{qr} \]