Question
Mathematics Question on Algebra
The system of linear equations -2x+y+2=a, x-2y+z=b, x+y-2z=c have infinitely many solutions if
A
a=0, b=0, c=0
B
a+b=c
C
a+b+c=0
D
a+b-c=0
Answer
a+b+c=0
Explanation
Solution
The correct option is (C):a+b+c=0
The system of linear equations -2x+y+2=a, x-2y+z=b, x+y-2z=c have infinitely many solutions if
a=0, b=0, c=0
a+b=c
a+b+c=0
a+b-c=0
a+b+c=0
The correct option is (C):a+b+c=0