Question
If after row operations a system of linear equations takes the form 4 7x 1 7y 5 5z 3 8 0x Oy Oz 0 Then
If after row operations a system of linear equations takes the form 4 7x 1 7y 5 5z 3 8 0x Oy Oz 0 Then what is the correct form describing the family of infinite solutions and what does it represent geometrically O a This is a trick question A line of zeroes in a system of linear equations means there are no solutions O b The family of infinite solutions will take the form 0 81 0 36 s 1 17 t s t t and s going from negative infinity to positive infinity This scenario represents two equations representing the same plane O c The family of infinite solutions will take the form 3 80 1 70 s 5 50 t s t t and is going from negative infinity to positive infinity This scenario represents two equations representing the same plane O d The family of infinite solutions will take the form 0 81 0 36 s 1 17 s t this scenario represents two equations representing the same line Oe The family of infinite solutions will take the form 0 81 0 36 s 1 17 t s t t and s going from negative infinity to positive infinity This scenario represents two equations representing the same line Of The family of infinite solutions will take the form 0 81 0 36 t 1 17 0 1 going from negative infinity to positive infinity This scenario represents two equations representing the same line
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