SOLUTION: Three towns a b c lie in a straight road in the order. The distance from B to C is 6 miles more than twice the distance from A to B. The distance from A to C is 2 miles more than

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: Three towns a b c lie in a straight road in the order. The distance from B to C is 6 miles more than twice the distance from A to B. The distance from A to C is 2 miles more than      Log On


   

Question 116609This question is from textbook algebra 1
: Three towns a b c lie in a straight road in the order. The distance from B to C is 6 miles more than twice the distance from A to B. The distance from A to C is 2 miles more than 4 times the distance from A to B. What is the distance from A to b? This question is from textbook algebra 1

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
bc = 2(ab) + 6
ac = 4(ab) + 2
ab + bc = ac
ab + 2(ab) + 6 = 4(ab) + 2
ab = 6 - 2
ab = 4 answer
check answer
bc = 2(4) + 6
bc = 14
ac = 4(4) + 2
ac = 18
Does ab + bc = ac?
4 + 14 = 18
18 = 18
OK