If 2x+y+3z=12 and x+3y-z=16 then find the value of x+y+z
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2 x + y + 3 z = 12 -- (1)
x + 3 y - z = 16 --- (2)
since there are only two equations, we find answer in terms of x or y or z, one of them.
- (1) + (2) *2 : y - z = 4
substitute that in (1)
2 x + z+4 + 3z = 12 => x +2 z = 4
so x + y + z
= 4 - 2z + 4 + z + z
= 8
x + 3 y - z = 16 --- (2)
since there are only two equations, we find answer in terms of x or y or z, one of them.
- (1) + (2) *2 : y - z = 4
substitute that in (1)
2 x + z+4 + 3z = 12 => x +2 z = 4
so x + y + z
= 4 - 2z + 4 + z + z
= 8
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