Based on the tables, at what point do the lines y = 3x - 2 and y = -5x - 10 intersect?
1 answer:
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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.