What is the value of the x variable in the solution to the following system of equations?
3x + 2y = 6
2x + 3y = −1

Question

What is the value of the x variable in the solution to the following system of equations?
3x + 2y = 6
2x + 3y = −1

anonymous · Answer

(2) {3x + 2y = 6}  -->       6x + 4y = 12
(-3) {2x + 3y = -1 } -->   -6x - 9y = 3   
                                       + ------------
                                           0x - 5y = 15
                                                    y = (-3)  --->  2x + 3(-3) = -1  --->  x = 4

conclusion :   ( 4, -3)

anonymous · Answer

The method used to solve this system of equations is referred to as elimination method.