Rearrange the equations to show 6y = 3x + 14 and 9y = -18x - 14.
This gives you the gradients of the two straight lines.
y = 3/6 x + 14/6 and y = -18/ 9 x - 14/9.
The first shows a gradient of 3/6 and the second is -18/9. These are called the co-efficients of x in each equation.
The two gradients cancel down to 1/2 and -2.
One is the negative reciprocal of the other, so the two lines are not parrallel. They a perpendicular to each other.
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The discriminant is 0.
(2x4) + (8x3) + 18x 8 + 24 + 18x 32 + 18x
11x = 20x +1811x-20x=18x(11-20)=18-9x=18x=-2
2x2+18x = 20 2x2+18x-20 = 0 x2+9x-10 = 0 (x+10)(x-1) = 0 x = -10 or x = 1
It has one double solution.