Question

Spencer says that the point (5, -5) os a solution to the system. is Spencer correct why or why not? A.) yes, spencer is correct because the point falls on a dotted line and is therefore included in the solution setB.) yes, Spencer is correct because the point falls in the region that has the overlap of shadingC.) No, Spencer is incorrect because the point falls on a dashed line and is therefore not included in the solution setD.) No, Spencer is incorrect because the point falls outside of the area with the overlap of shading

Answer 1

To know if (-5,5) is a solution to the system, this point should be in the intersection of the two graphs

This means that the point must be in the are where the red and blue colors overlap.

In this case, we can see that (-5,5) is not in the red and blue area

So, (5,-5) is not a solution because the point falls outside of the area with the overlap of shading

In the sketch, the black area is the are where red and blue overlap.

Where they overlap, is the solution. But the point (-5,5) is out of the area. So, Spencer is incorrect.

Correct answer: D.