Consistency in Linear Equations: The Relationship Between Coefficients c and d

cmajor47
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Homework Statement


Suppose the system below is consistent for all possible values of f and g. What can you say about the coefficients c and d?


Homework Equations


x1 + 3x2 = f
cx1 + dx2 = g

The Attempt at a Solution


I really just have no idea what this says about c and d.
 
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Try solving the equations. Multiply the first one by c and subtract them and solve for x2. What could go wrong with this procedure?
 

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