SOLUTION: For each system of equations, use the determinants (D and possibly D little y) to state how many solutions exist. Then circle the appropriate conclusions about the equations and gr

Question 1022419: For each system of equations, use the determinants (D and possibly D little y) to state how many solutions exist. Then circle the appropriate conclusions about the equations and graphs.
3x-y=7
6x-2y=6
Equations are: consistent, inconsistent, dependant
Graph of the lines: intersect, are parallel, coincide
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!

Since one row of the matrix is a scalar multiple of the other, the determinant will equal zero. However, the

and

matrices do not have scalar multiple rows and therefore, have non-zero values. Conclusion: the system is inconsistent, i.e. the solution set is empty, and the graphs are parallel lines.

John

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

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