Question

. The value of k, for which the system of equations x + (k + l)y = 5 and (k + l)x + 9y = 8k – 1 has in *

Answer 1

$\Huge{\red{\underline{\textsf{Answer –}}}}$

➤ $\sf\dfrac{a1}{a2}$=$\sf\dfrac{b1}{b2}$=$\sf\dfrac{c1}{c2}$

➤ $\sf\dfrac{1}{k+1}$=$\sf\dfrac{k+1}{9}$=$\sf\dfrac{5}{8k-1}$

➤ $\sf\dfrac{1}{k+1}$=$\sf\dfrac{k+1}{9}$

➤ (k+1)² = 9

➤ k+1 = +√9 or -√9

➤ k+1 = +3 or -3

• Case 1 –

➤ k+1 = 3

➤ k = 2

• Case 2 –

➤ k+1 = -3

➤ k = -4