BITSAT Mathematics Question (2024) — Solution

Step-by-step solution

Given equations, x-y+2 z=4 3 x+y+4 z=6 x+y+z=1 Let = | array ccc 1 & -1 & 2 \\ 3 & 1 & 4 \\ 1 & 1 & 1 array | =1(1-4)+1(3-4)+2(3-1) =-3-1+4=0 and _1= | array ccc 4 & -1 & 2 \\ 6 & 1 & 4 \\ 1 & 1 & 1 array | =4(1-4)+1(6-4)+2(6-1) =-12+2+10=0 Now, =0 and _1=0 These equations have infinitely many solutions.