One variable equal to two constants = inconststant?

[teroenza]

Homework Statement

I have been given a 3X4 matrix and asked to find whether the plane equations which are it's constituents intersect at least at a single point. I end up with one variable equal to two different constants. Is this an example of inconsistency, and thus the planes to not intersect anywhere ( no solution)?


Thank you

 

[Mark44]

Homework Statement

I have been given a 3X4 matrix and asked to find whether the plane equations which are it's constituents intersect at least at a single point. I end up with one variable equal to two different constants. Is this an example of inconsistency, and thus the planes to not intersect anywhere ( no solution)?

If there are no errors in your work, and you end up with, say, x = 2 and x = 3, then the system is inconsistent, and there are no solutions.