# Thread: Solving a system of equations

1. ## Solving a system of equations

Hi
Can the following system of equations be solved by the Gaussian Elimination method?
a-b+2c=3
2a-2b+5c=4
a+2b-c=-3
2b+2c=1
I tried , but for different combinations I am getting different answers which when substituted in the equations, do not satisfy all the equations.

2. Hi
Originally Posted by Sabita
I tried , but for different combinations I am getting different answers which when substituted in the equations, do not satisfy all the equations.
This simply means that the system has no solution because the 4 equations are independent : as there are only 3 unknowns, the 4 different conditions can't be satisfied at the same time.