Can I explain why the linear equation $0x_1+0x_2+0x_3+0x_4=8$ has no solution in the following way (This is a question in my homework for elementary linear algebra, $x_i$ are variables.):
For any values of $x_1, x_2, x_3, x_4$ the left-hand side of the equation is $0$ and the right-hand side is $8$. Therefore, the linear equation has no solution.
Please comment on my solution. Are there any other extra words that I can add into my solution?