Answer
Infinite solutions.
Work Step by Step
$6y=-5x+24$
$y=(-5x+24)/6$ as per equation 1.
If we substitute in equation 2,
$2.5x+3y=12$
$2.5x+3((-5x+24)/6)=12$
$2.5x+(-5x+24)/2=12$
$2.5x-2.5x+12=12$
$12=12$
As LHS = RHS , we can conclude that there are infinitely many solutions, since both the equations are equal.