For 3x+2y = 7 and 6x+my = 14, system has infinite solutions when m = ?

For 3x+2y = 7 and 6x+my = 14, system has infinite solutions when m = ?

Explanation

To have infinite solutions, the two equations must be proportional, meaning:


(3x + 2y = 7)  

(6x + my = 14)


Compare coefficients:


- 6x / 3x = 2  

- 14 / 7 = 2  

→ So, m/2 must also be 2 → m = 4