Question

In how many ways could the blanks below (marked with []) be filled if all the coefficients must be positive integers? []a + []b + []a = 10a + 7b

Answer 1

5 times.

1a + 7b + 9a = 10a + 7b

2a + 7b + 8a = 10a + 7b

3a + 7b + 7a = 10a + 7b

4a + 7b + 6a = 10a + 7b

5a + 7b + 5a = 10a + 7b