Answer the question and solve the problems below. Make sure you show all your work so you can get partial credit even if you get the final answer wrong.

1. What is a system of equations?

2. Solve for X and Y in the following problems using either substitution or elimination methods. Make sure you show all your work so you can get partial credit even if your final answer is wrong.

a. X + Y = 10 , 3X + Y = 12

b. 2X + 5Y = 19 , 3X + 3Y = 15

c. 4X + Y = 22 , 2X + 3Y = 16

d. 12X + Y = 174 , 8X - 2Y = 36

1. Suppose Bob owns 2,000 shares of Company X and 10,000 shares of Company Y. The total value of Bob's holdings of these two companies is $372,000.

Suppose Frank owns 8,000 shares of Company X and 6,000 shares of Company Y. The total value of Franks holdings of these two companies is $400,000.

a. Write equations for Bob and Frank's holdings. Use the variables X and Y to represent the values of shares of Company X and Company Y.

b. Solve for the value of a share of Company X and Company Y. Show your work so you can get partial credit even if your final answer is wrong.

1. Solve for X, Y, and Z in the following systems of three equations using either substition or elimination methods:

a. X + 2Y + Z = 22

b. 10X + Y + Z = 603

c. 22X + 5Y + 7Z = 12

Assignment Expectations:

Define a system of equations.

Solve systems of equations with two and three variables.

For this SLP I want you to create a system of linear equations from your own life, it can be an extension of your module 2 SLP or something new entirely. Keep in mind that a system of linear equations will consist of two equations using the same variables and the variables will represent the same thing for both equations, i.e., if you use X as a variable in the first equation and X represents a number of Beers then you need to use X in the second equation and it needs to represent number of Beers in the second equation.

Create your system of linear equations then write a brief paper describing the system. Is this a consistent system or inconsistent system?

Assignment Expectations:

Create and solve a system of equations from your own life experiences.