Question

If the pair of linear equations 2x − 3y − 5 = 0 and (m + n)x −
(2m − n)y = 15 represent coincident lines then the values of m and n are

Answer 1

Answer:

m=5 , n=1

Step-by-step explanation:

2x − 3y − 5 = 0 and

(m + n)x − (2m − n)y = 15

are coincident

Implies

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

or

 m + n = 6

2m - n  = 9

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3m=15  => m=5 ,

n = 6-5=1