Question

find the values of m and n for which the system of given equations (2m -1)x + 3y =5 , 3x + ( n-1) y =2 has infinite many solutions​

Answer 1

a1=2m-1 b1=3 c1=-5

a2=3 b2=n-1 c2=-2

Infiniti many solutions

a1/a2=b1/b2=c1/c2

$\frac{2m - 1}{3} = \frac{3}{n - 1} = \frac{ - 5}{ - 2}$

$\frac{2m - 1}{3} = \frac{5}{2}$

(2m-1)×2=5×3

4m-2=15

4m=17

m=17/4

$\frac{3}{n - 1} = \frac{5}{2}$

3×2=5(n-1)

6=5n-5

11=5n

11/5=n

so,value of n=11/5 and m=17/4