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

C) (2,6/B)

this one is correct.

Step-by-step explanation:

here's the solution: -

the given equations are ,

=》3x +By =12

=》2x + By =10

if we subtract equation 2 from equation 1 , we get

=》3x + By - 2x - By = 12 - 2

=》x = 2

now, plugging the value of x as 2 in equation 1 we get :

=》(3 × 2) + By = 12

=》6 + By = 12

=》By = 6

=》y = 6 / B

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)