## butterflyprincess 3 years ago Solve this System... -x+2z=-9 -x-3y-4z=2 -3x-2y+2z=17

1. butterflyprincess

Is it No Solution?

2. jim_thompson5910

what makes you say that

3. jim_thompson5910

Did you end up with a contradiction when you tried to solve this system?

4. butterflyprincess

I ended up with like -21y-42z=77 21y+42z=33 it cancels out

5. hayley308

you could be charged with identity theft.. i would change it...

6. jim_thompson5910

here's how I would do it -x+2z=-9 -x = -2z - 9 x = 2z + 9 ---------------------------- -x-3y-4z=2 -(2z + 9) - 3y - 4z = 2 -2z - 9 - 3y - 4z = 2 -3y - 6z - 9 = 2 -3y - 6z = 2+9 -3y - 6z = 11 ------------------- -3x-2y+2z=17 -3(2z + 9)-2y+2z=17 -6z -27 - 2y+2z=17 -2y - 4z - 27 = 17 -2y - 4z = 17+27 -2y - 4z = 44 --------------------------------- -3y - 6z = 11 -2y - 4z = 44 -2(-3y - 6z) = 2*11 3*(-2y - 4z) = 3*44 6y + 12z = 22 -6y - 12z = 132 ---------------- 0y + 0z = 154 0 = 154 ... which is a contradiction So you are 100% correct. There are no solutions and this system is inconsistent.