You spend $63 on books and movies. You pay $12 per book and $15 per movie. You buy 3 more books than movies. How many of each item do you buy?

12B - 12M = 36

12B + 15M = 63

Subtract one from the other:

12B + 15M = 63

-(12B - 12M = 36

0 + 27M = 27

27M = 27

M = 1

B - M = 3 (from the original equations)

B - 1 = 3

B = 4

You bought 4 books and 1 movie.

Step-by-step explanation:

step-by-step explanation:

points a and b are equidistant from the desired line, so the line you find by using them will go through point r.

using points other than a and b will give the desired line only if they are equidistant from r. if they are randomly located, the perpendicular line you create will not necessarily go through point r, hence will not be a solution to the problem.