Question:medium
If
\[
\frac{3}{x + y} + \frac{12}{2x - y} = \frac{7}{3} \text{ and } \frac{6}{x + y} + \frac{18}{2x - y} = \frac{11}{3}, \text{ then } x^2 + y^2 =
\]
If
\[
\frac{3}{x + y} + \frac{12}{2x - y} = \frac{7}{3} \text{ and } \frac{6}{x + y} + \frac{18}{2x - y} = \frac{11}{3}, \text{ then } x^2 + y^2 =
\]
Show Hint
When solving simultaneous equations, defining new variables can often simplify the process. Remember to substitute back carefully to find the final solution.
Updated On: Apr 18, 2026
- 34
- 41
- 25
- 7
Show Solution
The Correct Option is B
Solution and Explanation
Was this answer helpful?
0
Top Questions on Basic Algebra
- If \(p(x) = 4x^{11} - 8x^9 + 7x^5 + 6x^3 + 4x^2 + 5x + 6\), then the number of zeros is ________.
- TS EDCET - 2025
- Mathematics
- Basic Algebra
- Match the following:
- TS EDCET - 2025
- Mathematics
- Basic Algebra
- The roots of the equation \( x^4 - 5x^2 + 4 = 0 \) are
- TS EDCET - 2025
- Mathematics
- Basic Algebra
- For \((k \neq 0)\), if the quadratic equation \(kx(x - 2) + 6 = 0\) has two equal roots, then find the value of \(k\).
- TS EDCET - 2025
- Mathematics
- Basic Algebra
- Want to practice more? Try solving extra ecology questions todayView All Questions