87 points
classify the system
x + y = 3
2y = x

a. inconsistent
b. consistent dependant
c. consistent independent

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

----> equation A

----> ----> equation B

solve the system by substitution

substitute equation B in equation A

solve for y

Find the value of x

---->  

The solution is the ordered pair (2,1)

The system has only one solution

therefore

The system is a consistent independent