What is the answer to this question 7p plus 2q equals 46 and 5p plus 3q equals 36?

Answer 1

7p + 2q = 46 . . . . (A)

5p + 3q = 36 . . . . (B)

3*(A): 21p + 6q = 138

2*(B): 10p + 6q = 72

Subtracting gives 11p = 66 so that p = 6

Substitute for p in (A): 7*6 + 2q = 46 or 42 + 2q = 46

which gives 2q = 4 so that q = 2

Solution: (p, q) = (6,2)