Question

7x + 6y + 4z = 122
4x + 5y + 3z = 88
9x + 2y + z = 78

• A. x < y = z
• B. x $\le$ y < z
• C. x < y > z
• D. x = y > z
• E. x = y = z or relation cannot be established

Answer 1

The correct option is A x < y = z

7x + 6y + 4z = 122 - - (1)
4x + 5y + 3z = 88 - - (2)
9x + 2y + z = 78 - -(3)
From (1) and (2) $\Rightarrow$ 5x - 2y = 4 - (a)
From (2) and (3) $\Rightarrow$ 23x + y = 146 - (b)
From (a) and (b) $\Rightarrow$ x = 6, y = 8. Put values in eqn (3) $\Rightarrow$ z = 8