# finite mathematics

I am needing help with the following questions

solve the linear system of equations

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1) x – 3y = -6

5x + 3y = 42

2) 2x – 6y = 7

5x + 2y = 10

3) x + 16y = 9

1/4 x + 4y = 8

4) 3x – 2y = 7

9x – 6y = 14

Determine whether the system of linear equations has one and only one solution, infinitely many solutions, or no solution.  Find all solutions whenever they exist.

5) x + 3y = 9

3x – y = 7

6) 2x – 5y = 10

4x – 10y = 20

Solve the linear system of equations

7) 7/4 x – 5/2 y = 2

1/4 x + 7/2 y = 8

8)  9x – 7y = 63

45 x – 35y = 18

9)  A system composed of two linear equations must have at least one solution if the straight lines   represented by these equations are nonparallel.  True or False

Solve the linear system of equations

10) 6x – 7y = 20

3x + 5y = -7

Solve the system of linear equations using the Gauss- Jordan elimination method.

11) x – 2y = 8

3x + 4y = 8

12) 3x + 2y = 14

x – 4y = -14

13) 7x + 5y = 32

3x + y =-20

14) 3x + 3y +   z = 22

x    +    z = 6

4y – 3z =   8

15) 2 x + 5 y – 2 z = 14

5 x – 6 y + 2 z =  0

4 x –   y + 3 z = -7