Answer:
The system is inconsistent
Step-by-step explanation:
we know that
If a system has at least one solution, it is said to be consistent .
If a consistent system has exactly one solution, it is independent .
If a consistent system has an infinite number of solutions, it is dependent
If a system not have solution, it is said to be inconsistent.
In this problem we have
[tex]-21x-3y=-24[/tex] ----> equation A
Isolate the variable y
[tex]3y=-21x+24[/tex]
Divide by 3 both sides
[tex]y=-7x+8[/tex]
[tex]y=-7x+7[/tex] ----> equation B
Compare both lines
The lines have the same slope and different y-intercept
so
The lines are parallel
The system has no solution
therefore
The system is inconsistent
