Hello I need help with this part of the question please , thank you

Due on Monday Aug 28. Work on the following problems. I. Find the solutions to the linear system. You shall practice solving in two different ways: 1) by elimination; 2) by finding the rref of the corresponding augmented matrix. + 2y + 3z =1 x + 3y + 4z = 3 + 4y + 52 = 4. aty - = =0 2. 4x - y + 52 - 0 (6 ty +4z =0 II. The sums of any two of three real numbers are 24, 28, and 30. Find these three numbers. III. Consider the linear system ity -z=2 I + 2y + 2 = 3 r ty + ( 12 - 5)2 -k where k is an arbitrary constant. For which value(s) of & does this system have a unique, solution? For which value(s) of k does the system have infinitely many solutions? For which value(s) of k is the system inconsistent? IV. Determine which of the matrices below are in reduced row-echelon form. If not, write the rref of the matrix. 1. 2 0 2 07 0 0130 0 0140 0 0 0 01 01203 2. 0 0 01 4 OOGOO 1. 2 0 3 3. 0 0 0 0 10 0 1 V. For an arbitrary positive integer n 2. 3, find all solutions 21, 42, .. .,In of the simultaneous 202 = 41+ 23 equations 2:03 = 202 + 14 20n-1 = 27-2+ x7) VI. The reduced row-echelon forms of the augmented matrices of three systems ate river for . How many solutions does each system have