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System Of Equations; Ordered Triples?
Solve the system of equations, Write the solution as an ordered triple. Simplified Form.
X,Y,Z =
Question 1:
x+y+z= 6
2x+4y+2z= 24
-x+8y-3z= 36
4 Answers
- Jon PLv 41 decade agoFavorite Answer
add first and third
9y - 2z = 42
multiply 3rd by 2
-2x + 16y - 6z = 72
2x + 4y + 2z = 24
add the 2 above
20y - 4z = 96
(9y - 2z = 42) (-2)
-18y + 4z =-84
20y - 4z = 96
2y = 12
y = 6
20(6) - 4z = 96
-4z = -24
z = 6
x + 6 + 6 = 6
x = -6
(-6,6,6)
- Anonymous1 decade ago
Turn X, Y, Z a single variable like n.
x + y + z = 6 2x + 4y + 2z = 24 -x + 8y - 3z = 36
n + n + n = 6 2n + 4n + 2n = 24 -n + 8n - 3n = 36
3n = 6 8n = 24 4n = 36
n = 2 n = 3 n = 9
- Anonymous1 decade ago
X=-6
Y=6
Z=6
- 5 years ago
from3 1)letx =-19+3y-2 &&thenbut it 1 7(-19+3y-2z)-y+z=-39 -133+21y-14z-y+z=-39 20y-13z=94# but&&in2 2(-19+3y-2z)+2y-3z=-4 -38+6y-4z+2y-3z=-4 8y-7z=34## from# y=(94+13z)/20 but this in## 8[(94+13z)/20]-7z=34 188/5+26z/5-7z=34 -9z/5=-18/5 z=2then y=6,x=-5 2) make like 1