SOLUTION: On a number line, B is 2 units to the left of A. D is 5 units to the right of B. E is 2 units to the right of D. It is one unit farther from C to E than it is from C to B. What

Algebra ->  Number-Line -> SOLUTION: On a number line, B is 2 units to the left of A. D is 5 units to the right of B. E is 2 units to the right of D. It is one unit farther from C to E than it is from C to B. What      Log On


   

Question 326336: On a number line, B is 2 units to the left of A. D is 5 units to the right of B. E is 2 units to the right of D. It is one unit farther from C to E than it is from C to B. What is the distance from A to C?
a.0 units b.1 units c.2 units d.3 units e.4 units
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!

B=A-2
D=B%2B5
E=D%2B2
%28C-B%29%2B1=%28E-C%29
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Find all measurements in term of A.
C-B%2B1=E-C
2C=E%2BB-1
2C=%28D%2B2%29%2B%28A-2%29-1
2C=%28B%2B5%2B2%29%2BA-3
2C=%28A-2%2B5%2B2%29%2BA-3
2C=2A%2B2
C=A%2B1

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b) is the correct answer.