Answer: (x - 1)(8x +5)
Step-by-step explanation:
Let p be the prize of a pen and m the prize of a mechanical pencils. If you buy six pens and one mechanical pencil, you spend 6p+m. We know that this equals 9, because you get 1$ change from a 10$ bill.
Similarly, if you buy four pens and two mechanical pencils, you spend 4p+2m, which is 8$, because now you get a $2 change. Put these equation together in a system:
Now, if you multiply the first equation by 2, the system becomes
Subtract the second equation from the first:
Plug this value into the first equation to get
(B)
Step-by-step explanation:
Rewrite the equations into their standard forms. The first one can be rewritten as
and the 2nd can be rewritten as
Solving this system either by substitution or elimination, we get
If you add x + y, you'll get a negative number.
Here is the graph! I hope this helps!