Diketahui vektor-vektor a=8i-4j+3k, b=3i-2k, c=-i+5j+7k, d=(7x-1)i+(y+1)j+(5z+4)k, dan 2a-b+3c=d maka x+y+z=....

2a - b + 3c = d
[tex]2 \left[\begin{array}{ccc}8\\-4\\3\end{array}\right] - \left[\begin{array}{ccc}3\\0\\-2\end{array}\right] +3 \left[\begin{array}{ccc}-1\\5\\7\end{array}\right] = \left[\begin{array}{ccc}7x-1\\y+1\\5z+4\end{array}\right][/tex]
[tex] \left[\begin{array}{ccc}16-3-3\\-8-0+15\\6+2+21\end{array}\right] = \left[\begin{array}{ccc}7x-1\\y+1\\5z+4\end{array}\right] [/tex]
[tex] \left[\begin{array}{ccc}10\\7\\29\end{array}\right] = \left[\begin{array}{ccc}7x-1\\y+1\\5z+4\end{array}\right] [/tex]
7x - 1 = 10
7x = 11
x = 11/7

y + 1 = 7
y = 6

5z + 4 = 29
5z = 25
z = 5

x + y + z = 11/7 + 6 + 5 = 88/7