Question

uve a counterexample. That is, find two lines that do not have a point of intersection and explainhow you know3-36. Write and solve an equation for the following problem.In the last election, candidate C received 15,000 fewer votes than candidate B. If a total of 109,000votes were cast, how many votes did candidate B receive?

Answer 1

If candidate C received 15,000 FEWER votes than candidate B, and the total was 109,000 votes, then :

C + B = 109000

and

C = B - 15000

Then we replace C by (B - 15000) in the first equation:

(B - 15000) + B = 109000

combine like terms on the left

2 B - 15000 = 109000

add 15000 to both sides

2 B = 109000 + 15000

2 B = 124000

divide bothe sides by 2:

B = 124000 / 2

B = 62000

Then, candidate B received 62000 votes.