What is the solution of the following simultaneous equations?
x + y + z = 6, x + 2y + 3z = 14 and x + 3y + z = 10  Pick
A) 3
B) 7
C) 8
D) 1
E) 2
x + y + z = 6 .... (i)   x + 2y + 3z = 14 .... (ii)   x + 3y + z = 10   From (i), we get z = 6 - x - y   Substitute it in (ii) and (iii)   We have from (ii)   x + 2y + 18 - 3x - 3y = 14 or 2x + y   + 2  + 18 - 3  - 3= 
<gadget id="calculator">  + 2  + 18 - 3  - 3</gadget>
<output>14</output>
14 or 2x + y= 4   Similarily, from (iii)   x + 3y + 6 - x - y = 10 or 2y = 4 or y = 2   On solving, we get y = 2, x = 1, z = 3.   3nswer:3
<result>A</result>
What is the solution of the following simultaneous equations?
x + y + z = 6, x + 2y + 3z = 14 and x + 3y + z = 10