here,
2x-6y= -12
2(x-3y)= -12
x-3y = -6...........eq1
x+2y=14............eq2
we can subtract the above two given equations
we get,
[tex]x - 3y = - 6 \\ x + 2y = 14[/tex]
___________
[tex] - 5y = - 20[/tex]
so,
y=4
now to find the value of x we have to substitute the value of y in any of the above two equations, I choose eq2
we get,
[tex]x + 2y = 14 \\ x + 2 \times 4 = 14 \\ x + 8 = 14 \\ x = 14 - 8 \\ x = 6[/tex]