Question

15. If the pair of linear equations 2x+3y=11 and (m+m)x +(2m-n) y-33 = 0 has infinitely many solutions, then the values of m and n are​

Answer 1

Answer:

Correct option is

D

Step-by-step explanation:

m−5n=0

Given:-

2x−3y=10

(m+n)x−(2m−n)y=6m

For the given pair of linear equations have infinitely many solutions-

m+n

2

=

−(2m−n)

−3

=

−6m

−10

Case I:-

m+n

2

=

−6m

−10

⇒ 12m=10m+10n

⇒ 2m−10n=0

⇒ m−5n=0

Case II:-

−(2m−n)

−3

=

−6m

−10

⇒ 18m=20m−10n

⇒ 2m−10n=0

⇒ m−5n=0

Answer 2

Below is the answer!

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