Question

How many solutions does the system of equations below have?

Answer 1

Answer:

C:  none

Step-by-step explanation:

Here we have two separate functions named 'y.'  Eliminate 'y' temporarily by equating these functions together:

x + 2 = y = x - 1

Subtracting x from both sides, we get:

0 + 2 = y = 0 - 1, or

       2 = -1

This is never true, so C is the correct answer:  NO solutions.

An easier way in which to do this problem is to visualize the graphs of

y = x + 2 and y = x - 1.  The graphs are parallel straight lines; they never intersect, and therefore we can conclude "no solution."

Answer 2

Answer:

C

Step-by-step explanation: