Question

Match each statement with its corresponding value for the system below:

Answer 1

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 $y=-2(3)x$ and $y=9x-2$ 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=$\frac{2}{15}$

x=0.1333

As, x=0.1333 in y=-2(3)x

y=-2(3)($\frac{2}{15}$)

y=$\frac{-2*3*2}{15} =\frac{-2*2}{5} =\frac{-4}{5}$

y=-0.8

Graphically, as well y coordinate of point of intersection is -0.8