Hello, could you please help me with some math problems from my finite math class. Could you please show me how to correctly do every problem as well as provide me with the correct answer that way I can figure out how to do the problem and to make sure that I can check my own work and see where I went wrong. I really appericiate your help. Thank you. 

1a) For the following system of equations in echelon form, tell how many solutions there are in nonnegative integers.

x+3y+z=82

    7y+2z=42

1b) Solve the following system of equations. Let z be the parameter.

       3x+5y-z=2

      4x +7y +z=5 

1c)Solve the following system of equations. Let z be the parameter.

         x+3y+6z=19

        2x-3y+3z=2

2a) Write an augmented matrix for the following system of equations.

     -x+y=1

      4x-6y=9

2b) Write an augmented matrix for the following system of equations.

5x-y+9z=-3

7x-3y+z=8

5y-9z=-4

2c)Write the system of equations associated with the following augmented matrix. left bracket Start 2 By 3 Table 1st Row 1st Column 1 2nd Column 0 3rd Column 5 2nd Row 1st Column 0 2nd Column 1 3rd Column 4 EndTable right bracket

1	0	5
0	1	4

2d)Write the system of equations associated with the augmented matrix. Do not solve.left bracket Start 3 By 4 Table 1st Row 1st Column 1 2nd Column 0 3rd Column 0 4st Column 1 2nd Row 1st Column 0 2nd Column 1 3rd Column 0 4st Column 7 3rd Row 1st Column 0 2nd Column 0 3rd Column 1 4st Column 4 EndTable right bracket

1	0	0	1
0	1	0	7
0	0	1	4

2e)Replace Upper R 2R2by Upper R 2 plus left parenthesis negative 8 right parenthesis Upper R 1R2+(−8)R1.left bracket Start 3 By 4 Table 1st Row 1st Column 1 2nd Column 7 3rd Column negative 4 4st Column negative 7 2nd Row 1st Column 8 2nd Column 7 3rd Column 3 4st Column 7 3rd Row 1st Column negative 7 2nd Column 6 3rd Column 1 4st Column 2 EndTable right bracket

1	7	−4	−7
8	7	3	7
−7	6	1	2

2f)Replace Upper R 2R2by left parenthesis negative 3 right parenthesis Upper R 1 plus Upper R 2(−3)R1+R2.

left bracket Start 3 By 4 Table 1st Row 1st Column 1 2nd Column 6 3rd Column negative 8 4st Column negative 3 2nd Row 1st Column 3 2nd Column 1 3rd Column 2 4st Column 2 3rd Row 1st Column negative 9 2nd Column 9 3rd Column 8 4st Column 3 EndTable right bracket

1	6	−8	−3
3	1	2	2
−9	9	8	3

left parenthesis negative 3 right parenthesis Upper R 1 plus Upper R 2(−3)R1+R2

2g)Replace Upper R 2R2by left parenthesis negative 6 right parenthesis Upper R 1 plus Upper R 2(−6)R1+R2.

left bracket Start 3 By 4 Table 1st Row 1st Column 1 2nd Column 3 3rd Column negative 2 4st Column negative 1 2nd Row 1st Column 6 2nd Column 9 3rd Column 9 4st Column 7 3rd Row 1st Column negative 9 2nd Column 3 3rd Column 6 4st Column 3 EndTable right bracket

1	3	−2	−1
6	9	9	7
−9	3	6	3

left parenthesis negative 6 right parenthesis Upper R 1 plus Upper R 2(−6)R1+R2

2h)Perform the row operation one eighth18R1 and replace R1 on the following matrix.left bracket Start 3 By 4 Table 1st Row 1st Column 8 2nd Column 0 3rd Column 0 4st Column 72 2nd Row 1st Column 0 2nd Column 3 3rd Column 0 4st Column 7 3rd Row 1st Column 0 2nd Column 0 3rd Column 7 4st Column 8 EndTable right bracket

8	0	0	72
0	3	0	7
0	0	7	8

3a) Use theGauss-Jordan method to solve the following system of equations.

x=y=9

5x+4y=40

3b)Use the Gauss-Jordan method to solve the following system of equations.

5x-3y=40

10x-6y=5

3c)Use the Gauss-Jordan method to solve the following system of equations.
     -4x+3y=9

    8x-6y=-18

3d) Use the Gauss-Jordan method to solve the following system of equations.

-5x+3y=7

10x-6y=-14

 

Thank you for all of your help