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Mathematics
Problem
Solve the following system of equations and choose the correct ordered triple
(
x
,
y
,
z
)
(x, y, z)
(
x
,
y
,
z
)
.
x
+
y
+
z
=
6
x + y + z = 6
x
+
y
+
z
=
6
2
x
−
y
+
3
z
=
14
2x - y + 3z = 14
2
x
−
y
+
3
z
=
14
−
x
+
4
y
+
z
=
2
-x + 4y + z = 2
−
x
+
4
y
+
z
=
2
a)
(
28
11
,
−
4
11
,
34
11
)
(\dfrac{28}{11},\;-\dfrac{4}{11},\;\dfrac{34}{11})
(
11
28
,
−
11
4
,
11
34
)
b)
(
28
11
,
4
11
,
34
11
)
(\dfrac{28}{11},\;\dfrac{4}{11},\;\dfrac{34}{11})
(
11
28
,
11
4
,
11
34
)
c)
(
20
11
,
6
11
,
40
11
)
(\dfrac{20}{11},\;\dfrac{6}{11},\;\dfrac{40}{11})
(
11
20
,
11
6
,
11
40
)
d)
(
28
11
,
4
11
,
42
11
)
(\dfrac{28}{11},\;\dfrac{4}{11},\;\dfrac{42}{11})
(
11
28
,
11
4
,
11
42
)
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