19. Let c be the distance between Carlisle and Wellesley, let b be the distance between Carlisle
and Stonebridge, and let a be the distance between Wellesley and Stonebridge.
Stonebridge
If you did a circuit, traveling from Carlisle to Wellesley to
Stonebridge and back to Carlisle, you would travel 73 miles.
The distance from Stonebridge to Carlisle is 12 miles
farther than the distance from Wellesley to Carlisle.
.
If you drove from Stonebridge to Carlisle and back to
Stonebridge, and then continued to Wellesley then back to
Stonebridge, you would travel 102 miles.
A. Write a system of linear equations to represent the situation.
Wellesley
D
Not drawn
to scale
Carlisle
B. Solve the system of equations. Explain the meaning of the solution in the context of the
situation.