Answer:
Option C. consistent independent
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 has no solution, it is said to be inconsistent.
we have
[tex]x+y=3[/tex] ----> equation A
[tex]2y=x[/tex] ----> [tex]x=2y[/tex] ----> equation B
solve the system by substitution
substitute equation B in equation A
[tex]2y+y=3[/tex]
solve for y
[tex]3y=3[/tex]
[tex]y=1[/tex]
Find the value of x
[tex]x=2y[/tex] ----> [tex]x=2(1)=2[/tex]
The solution is the ordered pair (2,1)
The system has only one solution
therefore
The system is a consistent independent
