Answer: To solve for the values of a and b, we can use the method of elimination. Adding the two equations together eliminates b, giving us:
(a + b) + (a - b) = 7 + 13
2a = 20
a = 10
Substituting the value of a into one of the original equations, we can solve for b:
a + b = 7
10 + b = 7
b = -3
Therefore, the values of a and b are a = 10 and b = -3.