Question 395256
First, it would be useful to get both equations in the same form, e.g. the slope-intercept form:
1) {{{8x-6y = 24}}} ---> {{{y = (4/3)x-24}}}
2) {{{6y-8x = -24}}} ---> {{{y = (4/3)x-24}}}
The two equations are identical, so they will graph into the same line.
Since the graphs cooincide, there are an infinite number of solutions.
The system is a consistent system since there is at least one solution and the equations are dependent equations.