If x, y, and z are real numbers for which
x + y - z = -8
x - y + z = 18
-x + y + z = 30
then what is xyz?
when I use "(i), (ii), (iii)" I'm just labeling the equations
(i) x + y - z = -8
(ii) x - y + z = 18
(iii) -x + y + z = 30
(i) x + y - z = -8
(ii) x - y + z = 18
-------------------
2x = 10
x = 5
(ii) x - y + z = 18
(iii) -x + y + z = 30
--------------------
2z = 48
z = 24
i) x + y - z = -8
(5) + y - (24) = -8
y - 19 = -8
y = 11
therefore xyz = 5 * 11 * 24
= 1320