We can see that the given expressions (5x + 7y – 3) and (–7x + 12y + 13) are 2 trinomials.
So, we can add the trinomials by adding the like terms separately.
(5x + 7y – 3) + (–7x + 12y + 13) = (5 – 7)x + (7 + 12)y + (–3 + 13)
= –2x + 19y + 10
So, (5x + 7y – 3) + (–7x + 12y + 13) = –2x + 19y + 10
Therefore, option (b) is correct.