How many solutions does the following system have 1 2 15 0 0

How many solutions does the following system have? [1 -2 15 0 0 10] Infinitely many No solution One solution Unknown

Solution

Look at the last row
we have 0 , 0 , 10

This basically means that if x and y are the variables,
then the equation for the last row is :

0x + 0y = 10

But how is this possible?
0x + 0y will ALWAYS have to be 0, right?

We have a contradiction 0 = 10 in the last row...

And that;s why NO SOLUTION