Question

How do you solve `3x-5y+2z=-13`, `x+4y-2z=8` and `-3x+5y-2z=3`?

Answer 1

There are no solutions to this set of equations.

equation 1: `3x−5y+2z=−13`
equation 2: `x+4y−2z=8`
equation 3: `−3x+5y−2z=3`

Adding equation 1 and equation 3, we get
`0*x + 0*y + 0*z = -10`
or
`0 = -10`
(which is impossible)