SIMULTANEOUS LINEAR EQUATIONS WITH FRACTIONAL COEFFICIENTS WORKSHEET

Solve the following pairs of simultaneous equations:

Problem 1 :

2x + 1/3y = 1

3x + 5y = 6

Problem 2 :

4x + 3y = 5

2x - 3/4y = 1

Problem 3 :

1/3x + y = 10/3

2x + 1/4y = 11/4

Problem 4 :

3x - 2y = 5/2

1/3x + 3y = -4/3

Problem 5 :

x = 1/3y

2y - 6x = 9

Answer Key

1) So, the solution is x = 1/3 and y = 1.

2) So, the solution is x = 3/4 and y = 2/3.

3) So, the solution is x = 1 and y = 3.

4) So, the solution is x = 1/2 and y = -1/2.

5) So, there is no solution.