Question

3x +By =12
2x + By =10
In the system of equations above, B is a nonzero
constant. If (x, y) is the solution to the system of
equations, which of the following is (x, y), in
terms of B?
A) (2,6B). B) (6B,2). C) (2,6/B). D) (6/B,2).

Please with explanation

Answer 1

Answer:

using elimination method to eliminate by subtracting equation two from equation one.

3x - 2x = 12-10

x = 2

substitute x= 2 into equation one

3(2) + By = 12

6 + By = 12

By = 12 - 6

By= 6

y = 6/b

answer is option C

(2, 6/B)