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## How many solutions does the system of equations below have? y=x+2 y=x-1 A one B two С none D infinitely

Question

How many solutions does the system of equations below have?

y=x+2

y=x-1

A one

B two

С none

D infinitely many

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Mathematics
3 weeks
2021-08-23T23:16:13+00:00
2021-08-23T23:16:13+00:00 2 Answers
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## Answers ( )

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:C

Step-by-step explanation: