Solve for 

q

 in terms of 

p

,
 
r

,

 and 

s

.

r

=

p

+

q

–

s

To solve for \( q \) in terms of \( p \), \( r \), and \( s \), start with the given equation:

\[
r = p + q - s
\]

### Step-by-step solution:
1. Add \( s \) to both sides of the equation to isolate the terms with \( q \) on one side:
   \[
   r + s = p + q
   \]
   
2. Subtract \( p \) from both sides:
   \[
   r + s - p = q
   \]

Thus, the solution for \( q \) in terms of \( p \), \( r \), and \( s \) is:
\[
q = r + s - p
\]

Would you like any further details or have any questions about the solution?

Here are 5 related questions to explore:
1. How would the solution change if the equation was \( r = p + q + s \)?
2. Can you rearrange the equation \( r = p + q - s \) to solve for \( p \) instead of \( q \)?
3. What happens if \( s = 0 \) in the original equation?
4. If \( q = r + s - p \), what does \( q \) represent geometrically?
5. How do you solve the equation if all terms are squared?

**Tip:** Always check your final equation by substituting values back into the original to verify the correctness of your solution.

Solve for q in terms of p, r, and s. r = p + q - s

Learn how to solve for q in terms of p, r, and s in the equation r = p + q - s. This algebraic problem involves basic concepts like rearranging linear equations and is suitable for students in Grades 6-8. Follow a step-by-step guide to get the solution q = r + s - p.

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