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Q.
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:
Matrices
Solution:
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.