Acable television company has 8500 subscribers in a suburban community. the company offers two premium channels, a and b. if 2550 subscribers receive channel a, 1980 receive channel b, and 5140 do not receive any premium channel, how many subscribers receive both channel a and channel b?

The answer is 4,530

Step-by-step explanation:

2550 + 1980 = 4,530

x = -3

y = -18

step-by-step explanation:

to solve by substitution, substitute one variable and solve for the other. then substitute again to find the remaining variable.

x-1/3(3x-9) = -3 since y=3x-9 substittute y.

x-1/3(3x-9)=-3

x + x +3 = -3

2x+3=-3

2x+3-3= -3-3

2x=-6

x=-3

substitute again into y=3x-9

y=3(-3)-9

y=-9-9

y=-18