we know that
In a linear equation if the left side is equal to the right side
then
the system has an infinite number of solutions
we're going to verify every case
<u>case A)</u>
In this case the left side is equal to the right side
therefore
the system case A) has an infinite number of solutions
<u>case B)</u>
In this case the left side is not equal to the right side
therefore
the system case B) does not have an infinite number of solutions
<u>case C)</u>
In this case the left side is equal to the right side
therefore
the system case C) has an infinite number of solutions
<u>case D)</u>
In this case the left side is not equal to the right side
therefore
the system case D) does not have an infinite number of solutions
<u>case E)</u>
In this case the left side is not equal to the right side
therefore
the system case E) does not have an infinite number of solutions
therefore
<u>the answer is</u>