Math Problem Statement

Solve for p in terms of q and r. q = -p/r

Solution

To solve for pp in terms of qq and rr, we start with the given equation:

q=prq = -\frac{p}{r}

Step-by-step solution:

  1. Multiply both sides by rr to isolate pp: qr=pq \cdot r = -p

  2. Multiply both sides by 1-1 to solve for pp: p=qrp = -q \cdot r

Final answer:

p=qrp = -qr

Would you like further details on this solution?

Here are five related questions to expand on this:

  1. What happens if r=0r = 0 in this equation?
  2. How would the solution change if pp was squared in the original equation?
  3. Can you solve for rr in terms of pp and qq from the same equation?
  4. What are the implications of the negative sign in the equation?
  5. How does this equation relate to direct variation problems?

Tip: When solving for a variable, always check if there are any restrictions (like division by zero) that might affect the solution.

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Math Problem Analysis

Mathematical Concepts

Algebra
Equation Solving

Formulas

q = -p/r
p = -q * r

Theorems

Multiplication and Division properties of equality

Suitable Grade Level

Grades 8-10