Answer:
The lines don't intercept
Step-by-step explanation:
we have
[tex]3y=4x-6[/tex]
isolate the variable y
Divide by 3 both sides
[tex]y=\frac{4}{3}x-\frac{6}{3}[/tex]
simplify
[tex]y=\frac{4}{3}x-2[/tex] -----> equation A
[tex]8x-6y=-30[/tex]
Isolate the variable y
[tex]6y=8x+30[/tex]
Divide by 6 both sides
[tex]y=\frac{8}{6}x-\frac{30}{6}[/tex]
simplify
[tex]y=\frac{4}{3}x-5[/tex] -----> equation B
Compare equation A and equation B
The slopes are the same and the y-intercepts are different
Remember that
If two lines has the same slope, then the lines are parallel
therefore
In this problem line A and line B are parallel lines
The system of equations has no solution, because the lines don't intercept
