Question

If any buddy know maths than give answers :-
Find the value of k so that the following system of equation has infinite solutions.
$3x - y - 5 = 0$
$6x - 2y + k = 0$

Answer 1

For two equations ${a}_{1}x+{b}_{1}y+c=0$ and ${a}_{2}x+{b}_{2}y+c=0$ to have infinite solutions,$\frac{a_1}{a_2}=\frac{b_1}{b_2}=\frac{c_1}{c_2}\\\Rightarrow \frac{3}{6}=\frac{-1}{-2}=\frac{-5}{k}\\\Rightarrow k=-10$