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Mathematics
Karli Tate
28 February, 19:16
x+2y+2z=3. 2x-2y-z=3. x-2z=-5
+2
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Christopher Marquez
28 February, 19:59
0
x = 1, y = - 2, z = 3.
Step-by-step explanation:
x + 2y + 2z = 3 A
2x - 2y - z = 3 B
x - 2z = - 5 C
If we add equations A and B we eliminate y:
3x + z = 6 E
Multiply E by 2:
6x + 2z = 12 F
Adding C and F we get:
7x = 7
x = 1.
Plug this into equaton C:
1 - 2z = - 5
-2z = - 5 - 1 = - 6
z = 3.
Now plugging x = 1 and z = 3 in equation A:
1 + 2y + 2 (3) = 3
2y = 3 - 1 - 6 = - 4
y = - 2.
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