SOLUTION: Solve the system of equations by using substitution or elimination: 3x-y=-2 9x-3y=3

Question 245931: Solve the system of equations by using substitution or elimination:
3x-y=-2
9x-3y=3
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!

Note that the coefficients on

and

are in the exact proportion in each of the two equations but that the constant terms are not in the same proportion. That tells you that the slopes of the two lines are equal but the intercepts are different. Hence, parallel lines and the solution set is the empty set.

Multiply the first equation by -3:

and add that to the second equation:

The absurd result implies an empty set solution set.

John

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