6x + 2y = 2 and 12x -3y =18
Start by multiplying the first equation by two in order to balance both equations to have equal numbers of x
12x + 4y = 4 and 12x - 3y = 18
Rearrange both equations so that the x values are on one side on their own and the y values are on the other side
12x = 4 - 4y and 12x = 3y + 18
This can now cancel the x values from both equations to form one single equation
4 -4y = 3y + 18
Rearrange the single equation to work out the value of y
7y = -14
y = -2
Substitute the value of y back into any of the original two equations to work out the value of x
x = 1