Question

If $\begin{bmatrix}x+y+z\\\ x+y\\\ y+z\end{bmatrix} = \begin{bmatrix}9\\\ 5\\\ 7\end{bmatrix}$ then the value of (x, y, z) is:

• A. (4, 3, 2)
• B. (3, 2, 4)
• C. (2, 3, 4)
• D. none

Answer 1

Answer: (C)

(2, 3, 4)

Answer 2

Given: x + y = 5 ...(i) y + z = 7 ...(ii) and x + y + z = 9 ...(iii) Putting the value of x + y = 5 in equation (iii) we get z = 9 - 5 = 4 So, y = 7 - 4 = 3 and x = 5 - 3 = 2 thus x = 2, y = 3 and z = 4.