Q.

Statement -I : The solution of the equations x−y+3z=5,4x+2y−z=0,−x+3y+z=5 is x=0,y=1,z=2 Statement - II: The solution of the equations 2x−y+3z=9,x+y+z=6,x−y+z=2 is x=0,y=2,z=1 Then which of the above statement(s) is true?

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a

only I is true

b

only II is true

c

Both I, II are true

d

Neither I nor II are true

answer is A.

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Detailed Solution

only I is true      (by verification)
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Statement -I : The solution of the equations x−y+3z=5,4x+2y−z=0,−x+3y+z=5 is x=0,y=1,z=2 Statement - II: The solution of the equations 2x−y+3z=9,x+y+z=6,x−y+z=2 is x=0,y=2,z=1 Then which of the above statement(s) is true?