We have a problem about a system of equations
x= cost per one daylily
y=cost per one bunch
the equation for Arjun
7 daylilies
12 bunches
total cost 114
7x+12y=114
the equation for Chelsea
8 daylilies
6 bunches
total cost 84
8x+6y=84
the system of equations we have is
7x+12y=114
8x+6y=84
In order to solve the system, we will multiplicate the second equation by -2

then we will sum the first equation with the equation above

then we sum similar terms

then we isolate x

then we will substitute the value of x in the first equation in order to find y

the solution is
cost of one daylily =x=6
cost of one bunch =y=6