SOLUTION: When solving a system of equations using Cramer's Rule, if Dx = 0 Dy=-1, and D+0 the what can we conclude? I put the system is dependent but I got it wrong. Thank you,

Question 976488: When solving a system of equations using Cramer's Rule, if Dx = 0 Dy=-1, and D+0 the what can we conclude? I put the system is dependent but I got it wrong. Thank you,
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!

If ALL the Determinants in a system of equations, then the equations are dependent and the system has infinite solutions. Graphically, the equations all have identical ordered n-tuple solution sets, and therefore all represent the same line.

If the Determinant calculated from the coefficient matrix is zero but at least one of the other determinants is non-zero, then the system is inconsistent and the system has zero solutions. Graphically, the equations represent either parallel, or possibly in the case of lines in

space where

, skew lines.

John

My calculator said it, I believe it, that settles it

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