Question

Please help I need the answer

Answer 1

Please check the attached graph.

• The point of intersection will be: (x, y) = (15, -2)

The solution will be:

• (x, y) = (15, -2)

Hence, option (B) is correct.

Explanation:

• Please note that the point of intersection is the solution of the two lines on a coordinate plane.

Given the system of equation

`\begin{bmatrix}y=(2)/(3)x-12\\ y=2x-32\end{bmatrix}`

Please check the attached graph,

• The red line is representing the equation
  `y\:=\:(2)/(3)x-12`

• The blue line is representing the equation
  `y\ =\ 2x-32`

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.