So since y = 4x + 6 and y = 2x you can subtitute one into the other.
y = 2x
4x + 6 = 2x
So now you can subtract 2x from both sides of the equation :
4x - 2x + 6 = 2x - 2x
2x + 6 = 0
And now you can subtract 6 from both sides of the equation:
2x + 6 - 6 = 0 - 6
2x = - 6
Now you can divide both sides of the equation by 2 to find the value of 'x' on it's own:
(2x)/2 = - 6/2
x = - 3
This means that we now have the x value for our equation. We can now put this value into either of the original equations to find the value of y .
y = 2x x = - 3
y = 2(- 3 )
y = 2 × (-3)
y = - 6
Therefore the solution is (-3, -6) , so none of the choices are correct.