Alinear system in three variables has no solution. your friend concludes that it is not possible for two of the three equations to have any points in common. is your friend correct? explain your reasoning.

He is correct.

Step-by-step explanation:

Because a linear system in three variables means that they have solutions if the all three have points in common in R3 space. But, in the case that they don't have any solution mean the opposite, they don't have points in common in R3 space.

In a linear system, variables must be related through common points. So, graphically, you should draw intersecting geometrical places in order to show the intersections, wich are the common results or points that are the solutions of the linear system.