Review Systems of Linear Equations Number of Solutions

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Michelle and Julie are 17-year old twins, who decided to save their earnings to buy a car.  One week Michelle worked 8 hours and Julie worked 14 hours, and they saved $128.  The next week Michelle worked 12 hours, Julie worked 16 hours, and they earned $162. Write a system of equations to model the situation. Solve the system to determine how much each girl earns per hour.

Which is not a solution to the system shown in the graph?

• (-1, 1)

• (0, 1)

• (-1, -1)

• (1, -1)

Which is the solution region for the system of inequalities?

• Region A

• Region B

• Region C

• Region D

How many solutions will this system have? 

• No solution

• One Solution

• I Don't Know

• Infinitely Many Solutions

Solve the following system of equations.

• Infinite Solutions

• (0, -2)

• No Solutions

• (0, 2)

Solve:

−4x − 4y = 0

4x + 4y = 0

• (−6, −4)

• Infinite Solutions

• No Solutions

• (6, 4)

Solve the system of equations.
x + 2y = -3
x - y = -12

• (-9, 3)

• (-7 ,5)

• (3, 15)

• (9, 6)

Solve the following system of equations.

y = 2x + 1

y = 4x - 1

• (1,3)

• (-1,-3)

• (-1,3)

• (3,1)

Solve the following system of equations.

y = 2/3x - 2

y = -x + 3

• (0,3)

• (0,-3)

• (3,0)

• (-3,0)