Question 1127839

Solve the system of equation x+y+z=9, -x+y+z=1, and x-y-z=5

A. There is no solution. 
B. There are infinitely many solutions.
C. There is one solution, x=4, y=2, and z=3.
D. There is not enough information to solve the problem
<pre>  x + y + z = 9 ----- eq (i)
- x + y + z = 1 ----- eq (ii)
  x - y - z = 5 ----- eq (iii)
All you have to do here is ADD eqs (ii) & (iii). All 3 variables will be ZEROED out on the left, leaving the equation: 0 = 6.
Obviously, this is FALSE so no solutions exist ({{{highlight_green(matrix(1,2, CHOICE, "A."))}}}).