Systems of Linear Equations and Matrices

Solve the system of equations: 

• ( -2, 4, 3)

• ( 2, 1, 6)

• No solution

• None of these

Solve the system of equations: 

• ( -2, 3, -3)

• None of these

• ( -2, -3, 3)

• ( -3, 3, -2)

Solve the system of equations:
x + y + z = 4
x = -2y
z = -3y

• (2, -1, 3)

• (2, 3, 1)

• None of these

• (4, 1, -1)

3) Solve the system of linear equations.

• (3, 1, -5)

• (-3, 1, -1)

• no solution

• infinitely many solutions

Uncle Freddy rented a total of 12 movies and games. A movie rents for $3 and a game rents for $4.50, for a total of $42. There are 3 times as many movies than games. Which system models this scenario?

• 3M + 4.50G = 42

  M + G = 12

  M = 3G

• 3M + 4.50G = 12

  M + G = 42

  3M = G

• M + G = 12

  4.50M + 3G = 42

  3M = G

Solve the system of equations.
y = 4x+1
3x + 2y = 13

• (1, 5)

• (5, 1)

• (0.25, 2)

• ∅

Solve for x and y
y = 2x + 1
y = 4x - 1

• (1,3)

• (-1,-3)

• (-1,3)

• (3,1)

Solve the following system:
3x + 2y = 16
7x + y = 19

• (-2,5)

• (-2,-5)

• (2,-5)

• (2,5)

Which of these matrices are in row echelon form?

• (a) only

• (b) only

• (a) and (d)

• (a) , (b), and (d)

The augmented matrix shown in row-echelon form indicates a system with

• one solution

• no solution

• infinitely many solutions