Find the value of x + y + z, if x, y and z satisfies the given system of equations:
x - 2y + 3z = 9
4x + y - 5z = -6
x + 2y + 6z = 22
Explanation:
Given:
x - 2y + 3z = 9 …(1) 4x + y - 5z = -6 …(2) x + 2y + 6z = 22 …(3)
Now, eliminating variable x.
(3) – (1) ⇒ 4y + 3z = 13 …(4)
(3) × 4 – (2) ⇒ 7y + 29z = 94 …(5)
Solving (4) and (5), we get y = 1, z = 3 and x = 2.
Hence, x + y + z = 2 + 1 + 3 = 6.
Hence, option (c).
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