In the last election, candidate b received twice as many votes as candidate a. candidate c received 15000 fewer votes than candidate a. if a total of 109000 votes were casted how many votes did candidate b receive?

Step-by-step explanation:

a + b + c = 109,000

b = 2a

c = a - 15,000

now its just a matter of subbing

a + 2a + a - 15,000 = 109,000

4a - 15,000 = 109,000

4a = 109,000 + 15,000

4a = 124,000

a = 124,000/4

a = 31,000 < candidate A received 31,000 votes

b = 2a

b = 2(31,000)

b = 62,000candidate B received 62,000 votes

c = a - 15,000

c = 31,000 - 15,000

c = 16,000candidate C received 16,000 votes

2(2x + 3) = -4 + 2(2x + 5)

4x + 6 = -4 + 4x + 10

4x + 6 = 4x + 6

4x - 6 + 6 = 4x - 6 + 6

4x = 4x

x = x

unlimited solutions.