4x - y + 3z = 21
6x + y - z = 2
2x + y + 2z = 8
Thank you so much for the help!
2007-01-30 08:56:05 · 2 answers · asked by Pretty_baby 1 in Science & Mathematics ➔ Mathematics
4x - y + 3z = 21
6x + y - z = 2
2x + y + 2z = 8
4x - y + 3z = 21
6x + y - z = 2
- - - - - - - - - - -
10x + 2z = 23
4x - y + 3z = 21
2x + y + 2z = 8
- - - - - - - - - - -
6x + 5z = 29
30x + 6z = 69
30x + 25z = 145
- - - - - - - - - - - -
19z = 76
z = 4
6x + 5(4) = 29
6x = 9
x = 3/2
2(3/2) + y + 2(4) = 8
y = -3
(3/2, -3, 4)
Check
4(3/2) - (-3) + 3(4) = 21
6 + 3 + 12 = 21
6(3/2) - 3 - 4 = 2
9 - 3 - 4 = 2
2(3/2) - 3 + 2(4) = 8
3 - 3 + 8 = 8
Check.
2007-02-01 13:38:57 · answer #1 · answered by Jim Burnell 6 · 1⤊ 0⤋
y = 2-6x+z
y=8-2x-2z
y = 4x+3z-21
8-2x-2z=4x+3z-21
29-6x=5z
6x=29-5z
y=2-(29-5z)+z
y=11z-58
11z-58 = 2-6x+z
12z-60 = 6x
2z-5 = x
29-6x=5z
-30-6x=-12z
59 = 17z
z = 59/17
x=2(59/17) - 5
x = (108-85)/17
x = 23/17
y = 2 - 6(23/17) + (59/17)
y = (34-138+59)/17
y = -45/17
2007-01-30 17:10:49 · answer #2 · answered by bequalming 5 · 1⤊ 2⤋