Question

I find the value of m and not for which the following system of linear equations has infinitely many solutions 3x+4y =12 (m+n)x-2 (m-n) y= (5m -1).​

Answer 1

3x+4y=12
(0,3)

So,(m+n)x-2(m-n)y=(5m-1)

= (m+n)0-2(m-n)3=(5m-1)

= 0-2(3m-3n)=(5m-1)

= -6m+6n=(5m-1)

= 6n=5m-1+6m

= 6n=11m-1

= n=11m-1/7

3x+4y=12
(4,0)