As, we can see the graph, the two lines intersect at exactly one point. Hence, there is just one solution.
Theortically, As the slope of
and
is different. Hence, the system of equation has exactly one unique solution.
2. The x coordinate of the solution from graph is 0.1333.
Theortically, From, y=-2(3x) and y=9x-2
-2(3x)=9x-2
-6x=9x-2
Adding 2 on both sides, we get,
-6x+2=9x-2+2
-6x+2=9x
Adding 6x on both sides, we get,
2=15x
Dividing by 15 on both sides
x=![\frac{2}{15}](https://tex.z-dn.net/?f=%20%5Cfrac%7B2%7D%7B15%7D%20%20)
x=0.1333
As, x=0.1333 in y=-2(3)x
y=-2(3)(
)
y=![\frac{-2*3*2}{15} =\frac{-2*2}{5} =\frac{-4}{5}](https://tex.z-dn.net/?f=%20%5Cfrac%7B-2%2A3%2A2%7D%7B15%7D%20%3D%5Cfrac%7B-2%2A2%7D%7B5%7D%20%3D%5Cfrac%7B-4%7D%7B5%7D%20%20)
y=-0.8
Graphically, as well y coordinate of point of intersection is -0.8