2x-3y=-14
3x-2y=-6
if (x, y) is a solution to the system of equations above, what is the value of x-y?
a)-20
b)-8
c)-4
d)8
can you show your work

Step-by-step explanation:

The given system of equations :

Multiply equation (1) with 3 and equation (2) with 2 , we get

Now subtract equation (4) from equation (3), we get

Substitute the value of y in equation (1), we get

Hence, the solution of the system : (x,y)=(2,6)

Now, consider   and substitute the value of x and y , we get