Solve the simultaneous equations: 6x +2y = 2 and 12x - 3y = 18

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