Question

Find the number of solutions of the equations $2x+4y=10$ and $3x+6y=12$.

Answer 1

Given,

$2x+4y=10$

$\Rightarrow x+2y=5$...(1)

$3x+6y=12$

$\Rightarrow x+2y=4$....(2)

comparing (1) and (2),

we see they are parallel lines

So,we get $0$ solutions