Module 3 problem set

1.) Given the following two points, write the equation of the line that goes through the two points. Show all your work.

(-3, 3) and (2, -7)

2.) Given the two systems of equations shown below, determine which system would be easiest solved using elimination and which using substitution.

Explain why.

System A System B

3x – 2y = 7 y = + 8

-4x – 6y = -5 2x – 3y = 12

3.) Solve the two systems of equations in #2. Show all your steps/work.

4.) Solve the following system of equations in 3 variables. Show all your steps/word.

x – 2y –z = 8

2x – 3y + z = 23

4x – 5y + 5z = 53

5.) Explain the three types of solutions of system of equations can have?