Answer:
The system of the equations has no solution; the two lines are parallel.
Step-by-step explanation:
The equations have the same slope. In standard form, this can be seen as the same coefficients for x and y. We will multiply the second equation by -12 to reveal this.
[tex]\frac{1}{4} x-\frac{1}{3}y=1 \\-12(\frac{1}{4} x-\frac{1}{3}y=1)\\\frac{-12}{4} x-\frac{-12}{3}y=-12\\-3x+4y=-12[/tex]
This means the equations are parallel and will never cross. There is no solution.