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Question: a homogeneous system of linear equations is one in which...

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A homogeneous system of linear equations is one in which all of the right-hand sides of the equations are equal to zero. Like this:

bd ac

Suppose that 3 and 6 are both solutions to the homogeneous system above. Show that their sum, 59 , is also a solution to the system. Then write a short sentence explaining why any homogeneous system with at least two solutions must have an infinite number of solutions.

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