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Hope this helps i spent around fourty minutes trying to figure it out, but im still in my younger ages of highschool so yeah.
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.
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.