Kara and Ian went shopping for apples, a, and bananas, b. Kara bought 6 apples and 5 bananas for $4.54. Ian bought 3 apples and 7 bananas for $3.17. Their purchase can be modeled by the system of equations below.
6a + 5b = 4.54
13a + 7b = 3.17
Part A:
Solve the system of equations and give the solutions for a and b.
Part B:
To show your understanding of the concept, explain your method of solving the system.