Use the Elementary Row Operations to solve the following linear system of equations

Question

Use the Elementary Row Operations to solve the linear system of equations.

Answer 1

Multiply equation 1 by -3 and add to equation 3. Also, multiply equation 1 by 2 and add to equation 2:

3x₃ = 6

-3x₃ = -1

The system has NO SOLUTION since there is no value of x₃ that satisfies both of the equations above.