1. Solve the linear system of equations

x-3y= -6

A unique solution 6,4

B unique solution 6,-1

C infinitely many solutions t, 8t+7

D no solution

2. Solve the linear system of equations

2x-6y=7

5x+2y=10

A unique solution 8,3

B unique solution 37/17, -15/34

C infinitely many solutions t,6t+1

D no solution

3. Solve the linear system of equations

x+16y=9

1/4x+4y=8

A unique solution 9,4

B unique solution 2,-4

C infinitely many solutions t, 8t+9

D No solution

4. Solve the linear system of equations

3x-2y=7

9x-6y=14

A unique solution 6,-4

B unique solution 8,5

C infinitely many solutions t,8t+5

D no solution

5. Solve the linear system of equations

X+3y=9

3x-y=7

A one and only one solution 3,2

B one and only one solution 3,4

C one and only one solution 4,2

D infinitely many solutions 9-3k,k

E no solution

6. 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.

2x-5y=10

4x-10y= 20

A one and only one solution 0,-2

B one and only one solution 5,0

C one and only one solution 15/2, 1

D infinitely many solutions 5/2k+5,k

E no solution

7. solve the linear system of equations

7/4x-5/2y=2

1/4x+7/2y=8

A unique solution 7,-4

B unique solution 4,2

C infinitely many solutions t,6t+1

D no solution

8. Solve the linear system of equations

9x-7y=63

45x-35y=18

A unique solution 5,-4

B unique solution 3,4

C infinitely many solutions t,8t+1

D no solution

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

A true

B false

10. Solve the linear system of equations

6x-7y=20

3x+5y=-7

A unique solution 1,-2

B unique solution -9,3

C infinitely many solutions t,4t+5

D no solution

11. Indicate whether the matrix is in row-reduced form

1 0 l7l

0 1 l5l

A the matrix is not in row- reduced form

B the matrix is in row reduced form

12. Indicate whether the matrix is in row-reduced form

1 0 1 l9l

0 1 0 l8l

0 0 -1 l6l

A the matrix is not in row- reduced form

B the matrix is in row reduced form

13. Indicate whether the matrix is in row-reduced form

1 0 l-12l

0 1 l 2 l

0 0 l 0 l

A the matrix is not in row- reduced form

B the matrix is in row reduced form if we discard last equation.

14. Indicate whether the matrix is in row-reduced form

1 0 0 l-1l

0 1 1 l-2l

0 0 2 l-3l

A the matrix is not in row- reduced form

B the matrix is in row reduced form

15. Indicate whether the matrix is in row-reduced form

1 0 0 l9l

0 1 0 l6l

0 0 0 l2l

0 0 1 l8l

A the matrix is not in row- reduced form

B the matrix is in row reduced form

Not so sure about this.

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

x-2y=8

3x+4y=4

A (0,2)

B (8,2)

C (4,-6)

D (-2,4)

E (4,-2)

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

3x+2y=14

x-4y=-14

A (2,-14)

B (4,-14)

C (2,4)

D (2,16)

E (4, -14)

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

7x +5y=32

-3x+y=-20

A (7,-3)

B (6,-2)

C (2,-6)

D (-6,2)

E (-7,-2)

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

3x+3y+ z=22

X + z=6

4y-3z=8

A) ( 4, –14, –8 )

B) ( –19, 4, 8 )

C) ( 8, –14, –4 )

D) ( 14, 4, 8 )

E) ( 14, –4, –8 )

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

2x+5y-2z=14

5x-6y+2z=0

4x- y+3z=-7

A x=2,y=6,z=5

B x=2,y=5,z=-5

C x=2,y=0,z=5

D x=2,y=0,z=-5

E x=5, y=0,z=-2