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X+Y+Z=9---------(equation-1)
X+Z=5------------(eq.2)
Y+Z=7-------------(eq.3)
According to equation 2nd-
X+Z=5
X=5-Z
According to equation 3rd-
Y+Z=7
Y=7-Z
Put the value of X and Y in equation 1st-
5-Z+7-Z+Z=9
12-2Z+Z=9
-2Z+Z=9-12
-Z= -3
Z=3
put the value of Z in equation 2nd and 3rd-
X+Z=5
X+3=5
X=5-3
X=2.........
and
Y+Z=7
Y+3=7
Y=7-3
Y=4.............
So,
X=2
Y=4
Z=3.
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