Question

Find the value of k for which the following pair of linear equations has infinite
many solutions.
2x – 3y = 7 , ( k + 1 ) x + ( 1 – 2k ) y = ( 5k – 4 )

Answer 1

Answer:

k=5

Step-by-step explanation:

$\frac{a_{1} }{a_{2} } =\frac{b_{1} }{b_{2} } =\frac{c_{1} }{c_{2} } \\\frac{2}{k+1} =\frac{-3}{1-2k} =\frac{7}{5k-4}$

⇒On equating each with all

k=5