To find the x-intercept, we set y = 0 and solve for x. This gives us $2x = 12$, so $x = 6$. To find the y-intercept, we set x = 0 and solve for y. This gives us $3y = 12$, so $y = 4$. Therefore, the points $(6,0)$ and $(0,4)$ lie on the line of the first equation.
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