Question

The pair of linear equations 2x+3y= 11 and ( m+ n)x+(2m-n)y=33
has infinitelymany solution, find the values of to m and n​

Answer 1

Answer:

m=5, n=1

Step-by-step explanation:

We know that for infnite solutions a1/a2 = b1/b2 = c1/c2

2/(m+n) = 3/(2m-n) = 11/33 =1/3

2/(m+n) = 1/3

m+n = 6 ------eqn 1

3/(2m-n) = 1/3

2m-n = 9  ------eqn 2

Adding them, we get

3m=15

=> m = 5

and n = 1