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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
4 years
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: