Question

If the system of equations

x + 2y + 3z = 3

4x + 3y – 4z = 4

8x + 4y – λz = 9 + µ

has infinitely many solutions, then the ordered pair (λ, µ) is equal to

(1) \(\left(\frac{72}5, \frac{21}5\right)\)

(2) \(\left(\frac{-72}5, \frac{-21}5\right)\)

(3) \(\left(\frac{72}5, \frac{-21}5\right)\)

(4) \(\left(\frac{-72}5, \frac{21}5\right)\)

Answer 1

Correct option is (3) \(\left(\frac{72}5, \frac{-21}5\right)\)