<span>Basically take the total amount paid for gas and divide it by the price per gallon.
83.58/3.79 = 22.05 = 22 gallons</span>
We are given

Firstly, we simplify left side
Left side is

we will make all x terms together
and y terms together



we can multiply left side by using exponent rule



now, we can set them equal

Since, both sides have x,y and 8
and both are equal
so, their exponent must be equal
so, exponent of y must also be equal
we get

................Answer
Y≥x²+x-4
y>x²+2x+1
Substitute (0,0):
0≥-4 true
0>1 false
(0,0) is not a solution of the system.