87 POINTSClassify the systemx + y = 3 2y = xA. InconsistentB. consistent dependantC. consistent independent

Answer:Option C. consistent independentStep-by-step explanation:we know thatIf 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 Bsolve the system by substitutionsubstitute 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 thereforeThe system is a consistent independent