Looking at the equations
The first step is to name the equation
2y = 12x - 6 -----equation 1
y = 5x -3 --------equation 2
the second step is to obtain the gradient and compare each of the equation to that of the equation of a line y= mx + c
Equation 1
2y = 12x - 6
dividing all through by 2
y = 6x - 3
The gradient, when compared to y = mx + c, is 6
Equation 2
when y = 5x - 3 is compared to y = mx + c
m = 5, so gradient = 5
Since the gradients of the two lines are different
i.e m1 = 6 and m2 = 5
The system of equations have one solution