Solve the following pair of equations.
- 2 x + 3 y= 12 and 4 x + 3 y = - 6

The correct answer is: -3, 2

There are different methods for solving simultaneous linear Equations:
I. Elimination of a variable
II. Substitution
III. Cross-multiplication
IV. Evaluation of proportional value of variables 
Here, we will be using Elimination of a variable method.
Here, we have 2 equations
- 2x + 3y= 12  can also be written as 2x - 3y = -12                       (1)
4x + 3 y = -6             (2)
Multiplying 2 in equation(1), we get:
2  (2x - 3y = -12) = 4x -6y = -24              (3)
Subtracting equation 1 and 3 , we get :
4x - 6y = -24
-
4x +3y = -6
___________
= -9y = -18
y= 2
Substitute the value of y in equation (2), we get:
4x +3(2) = -6
x= -3
Thus, (x, y) = (-3, 2)