Exercises

A. Determine if the given system of equation is consistent, dependent, or inconsistent

1. x + 3y = 5
3x + 9y = 45

2. 3x – 6y =5
2x – 4y = 11

3. 6x + 4y = 3
6x + 4y = 5


B. Solve the following using the method of elimination

1. 4x – y = 9
x – 3y = 16

2. 0.7x – 0.3y = 0.5
-0.4x + 0.7y = 1.3

C. Use substitution to solve these equations

1. 5x + y = 8
3x – 4y =14

2. 4x + 12y = 4
5x – y = -11

D. Use comparison method to solve these equations

1. x – 3y = 5
5x – y = -14

2. 3x – 8y = 11
x + 6y = 8

Answers

A

1. dependent
2. inconsistent
3. inconsistent

B

1. (-1 , -17/3)
2. (2 , 3)

C

1. (2 , -2)
2. (-2 , 1)

D

1. (-3 , -1)
2. (5 , ½)