Question

If the pair of linear equation 2x + 3y = 7 and (m + n) x + (2m – n)y = 4m + n represent coincident
lines then value of m and n is :
(a) m = 1 , n = 5 (b) m = – 1 and n = 5 (c) m = 5, n = –1 (d) m = 5, n = 1

Answer 1

Answer:

(d) m=5 ,n= 1 is correct

Step-by-step explanation:

on comparing the coefficients of x and y

(m+n)/2= (2m-n)/3

=> 3m+3n = 4m-2n

=> m= 5n

=> m=5,n= 1

option (d) is correct