AP EAMCET · Maths · Determinants
The system of equations \(2 x+y-5=0, x-2 y+1=0\) and \(2 x-14 y-a=0\) is consistent. Then, \(a\) is equal to
- A 11
- B 12
- C 16
- D –16
Answer & Solution
Correct Answer
(D) –16
Step-by-step Solution
Detailed explanation
\(y = 5 - 2x\) \(x - 2(5 - 2x) + 1 = 0 \implies 5x - 9 = 0 \implies x = \frac{9}{5}\) \(y = 5 - 2(\frac{9}{5}) = \frac{25 - 18}{5} = \frac{7}{5}\) \(2(\frac{9}{5}) - 14(\frac{7}{5}) - a = 0\) \(\frac{18}{5} - \frac{98}{5} - a = 0\)…
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