Question

No. of Solutions for:

$\frac{4}{3}x+2y=8$
$2x+3y=12$

Answer 1

By taking LCM and rearranging equation 1, we get

$4x+6y=24$ $\left(1\right)$

taking equation 2 as it is

$2x+3y=12$ $\left(2\right)$

Here we can see that $eq\left(1\right)=2\times eq\left(2\right)$

So these 2 lines are coincident and hence infinitely many solutions exist.