Question

if the pair of linear equation 2x+3y=7 and(m+n)x+(2m-n)y=21 have infinitely many solution ,then the value of m and n are​

Answer 1

Answer:

m=5,n=1

Step-by-step explanation:

As we know,

infinitely many means

a1/a2=b1/b2=c1/c2

2/(m+n)=3/(2m-n)=7/21

2/(m+n)=7/21

2/(m+n)=1/3

6=m+n.............(1)

3/(2m-n)=7/21

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

9=2m-n............(2)

Now on adding (1) and (2)

m+n+2m-n=6+9

3m=15

m=5

Now put m value in (1)

6=5+n

n=1

Answer 2

Refer to these four attachments......!!

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