Discussion
What should be subtracted from 5y - 13x - 8a to obtain 11x - 16y + 7a ?
Answer: C
The expression to subtract is 21y - 24x - 15a.
If A - E = B, then E = A - B. Here A = 5y - 13x - 8a and B = 11x - 16y + 7a:
\[ \begin{aligned} E &= (5y - 13x - 8a) - (11x - 16y + 7a) \\ &= 5y + 16y - 13x - 11x - 8a - 7a \\ &= 21y - 24x - 15a \end{aligned} \]
Check: (5y - 13x - 8a) - (21y - 24x - 15a) = -16y + 11x + 7a, which is B. The option 24x - 21y + a has the signs reversed, as you get by computing B - A, and the other two mishandle the x or a terms.
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