Question

Find the value of m and n so that the following equation have infinite number of solution
(2m-1)+3y-5=0
3x+(n-1)y-2=0

Answer 1

Question:

Find the value of m and n so that the following equation have infinite number of solution

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

3x+(n-1)y-2=0

Solution:

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

3x + (n - 1)y - 2 = 0

There are infinite number of solutions

So, $\frac{a1}{a2} = \frac{b1}{b2} = \frac{c1}{c2}$

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

【Equating 1 and 2】

We have,

4m - 2 = 15

4m = 17

m = $\frac{17}{4}$

【Equating 2 and 3】

We have,

5n - 5 = 6

5n = 11

n = $\frac{11}{5}$