Answer
The system of equations has infinitely many solutions.
Work Step by Step
The system of equations are written as:
$\dfrac{x}{6}+\dfrac{y}{3}=8 ~~~(1) \\ \dfrac{x}{4}+\dfrac{y}{2}=12 ~~~(2)$
Multiply Equation -(1) by $6$ and equation-2 by 4 to get:
$x+2y=48~~~~(3)\\ x+2y=48~~~~(4)$
Subtract equations (3) from (4), so we get:
$0=0 $
This implies that the system of equations has infinitely many solutions.
