Systems of Linear Equations and Matrices

Which of the following matrices is in row-echelon form?

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Which of the following shows the system of equations using a matrix equation?

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Find the value of the determinant.

• -29

• -3

• -43

• -25

Bonny has 21 coins consisting of quarters, dimes, and nickels. The total value of the coins is $4.05. She has twice as many quarters as dimes and nickels combined. Write a system of equations that represent the situation.

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How many solutions does this system of equations have?

• One Solution

• No solution

• Infinitely Many Solutions

• Two Solutions

Solve for x and y
3x + 2y = 16
7x + y = 19

• (-2,5)

• (-2,-5)

• (2,-5)

• (2,5)

Solve the system of equations by substitution.
y = -4x + 5
y =  3x - 16

• (-3, -25)

• (3,-7)

• (11, 17)

• (21, 47)

Solve the system of equations.

y = 4x+1

3x + 2y = 13

• (1, 5)

• (5, 1)

• (0.25, 2)

• ∅/No Solution

Solve the system of equations: 

• ( 5, 1, -4)

• (-5, 3, -1)

• None of these

• ( -1, 5, -4)

If a system of equations has no solution, what does the graph look like?

• intersecting lines

• parallel lines

• skew lines

• intersecting lines