Math Problem Statement
Solve for
q
in terms of
p
, r
,
and
s
.
r
=
p
q
–
s
Solution
To solve for in terms of , , and , start with the given equation:
Step-by-step solution:
-
Add to both sides of the equation to isolate the terms with on one side:
-
Subtract from both sides:
Thus, the solution for in terms of , , and is:
Would you like any further details or have any questions about the solution?
Here are 5 related questions to explore:
- How would the solution change if the equation was ?
- Can you rearrange the equation to solve for instead of ?
- What happens if in the original equation?
- If , what does represent geometrically?
- 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.
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Math Problem Analysis
Mathematical Concepts
Algebra
Linear Equations
Rearranging Equations
Formulas
r = p + q - s
q = r + s - p
Theorems
Basic Algebraic Rearrangement
Suitable Grade Level
Grades 6-8