Answer:
Please check the attached graph.
- The point of intersection will be: (x, y) = (15, -2)
The solution will be:
Hence, option (B) is correct.
Step-by-step explanation:
- Please note that the point of intersection is the solution of the two lines on a coordinate plane.
Given the system of equation
[tex]\begin{bmatrix}y=\frac{2}{3}x-12\\ y=2x-32\end{bmatrix}[/tex]
Please check the attached graph,
- The red line is representing the equation [tex]y\:=\:\frac{2}{3}x-12[/tex]
- The blue line is representing the equation [tex]y\ =\ 2x-32[/tex]
From the attached graph, it is clear that both the lines meet at the point (15, -2).
In other words,
at x = 15, y = -2
Thus, the point of intersection will be: (x, y) = (15, -2)
We already know that the point of intersection is the solution of the two lines on a coordinate plane.
Therefore, the solution will be:
(x, y) = (15, -2)
Hence, option (B) is correct.
