Three friends: alex, maya and kansas, all bought slices of pizza from the parlor. alex bought 8 slices of pizza and 2 drinks, he spent a total of $24 ,maya bought 12 slices of pizza and 3 drinks, he spent a total of $32. calculate the cost of each item. when will maya and alex spend the same amount?

There is no solution to this system of equations; they will never spend the same amount.

The system of equations would be


We want one of the variables to have the same coefficient; we will make the coefficients of p be the same.  To accomplish this, we will multiply the top equation by 3 and the bottom equation by 2:



When we subtract the equations to cancel p, we also cancel d in the process, leaving us 

0 = 8

Since this is never true, there is no solution to the system.