Solve the system of equations algebraically.
5x – 3y = 6
6x - 4y = 2
a. many solutions
b. (8, 14)
c. no solutions
d.(9,13)

x-3y=4

step-by-step e

the revenue of the fitness center, y, is the product of two factors: the number of members and the fee paid by each member. there are 320 members now, but number of members goes down by 10 for each $5 increase in fees, so if x is the number of $5 price increases then members is equal to (320 - 10x). since the fee is currently $45, and the fee increases by $5 for every price bump x, the fee is given by (45 + 5x). so, revenue y is given by y = (320 - 10x)(45 + 5x).