Question

If 4p + 3q + 2r = 3 and -4p - 2q - 2r = 4, then q = ?

(A) 0
(B) 2
(C) 3
(D) 4
(E) 7

Answer 1

E

Explanation:

Label the two equations:

4p +3q +2r= 3 -----(1)

-4p -2q -2r= 4 -----(2)

(1) +(2):

4p +3q +2r -4p -2q -2r= 3 +4

Grouping like terms together:

4p -4p +3q -2q +2r -2r= 7

Simplify:

q= 7