SPOTLIGHTS Ship A has coordinates (–1, –2) and
Ship B has coordinates (–4, 1). Both ships have their
spotlights fixated on the same lifeboat. The light beam
from Ship A travels along the line y = 2x. The light
beam from Ship B travels along the line y = x + 5.
What are the coordinates of the lifeboat?

Step-by-step explanation:

The equation represents the light beam from Ship A, which has coordinates .

The equation represents the light beam from Ship B, which has coordinates .

This problem models a system of linear equations, because we need to find the coordinates of the lifeboat, which is a common points for both ships. So, basically, we just need to find the solution for the system formed by both equations.

We multiply the first equation by -1, and then sum

Now, we use this value to find the other one

Therefore, the lifeboat has coordinates (5,10).

The image attached shows the solution graphically.

i don't see nikolas work.

step-by-step explanation: