If 2x + 3y + z = 55; x + z - y = 4 and y - x + z = 12 then what is the value of y ?
Correct Answer: Description for Correct answer:
Given,
2x + 3y + z = 55 ....(i)
x + z - y = 4 ...(ii)
y - x + z = 12 ...(iii)
From (ii) and (iii)
2z = 16 => z = 8
From (ii), x + 8 - y = 4
=> x = 4 - 8 + y = y - 4
Putting this value in (i) we get
2 (y - 4) + 3y + 8 = 55
=> 2y - 8 + 3y + 8 = 55
=> 5y = 55 => y = 11
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