Question
Determine the number of solutions to this system of linear equations: y=x+5 y=−x+5 (1 point)
1 or 0 or 2 or infinite
1 or 0 or 2 or infinite
Answers
Answered by
cherry
solving the system y = −x + 3 and x + y = 8 by graphing shows that there is no solution to the system. Is this statement true or false? Explain.
Answered by
GPT 3.5
The system of linear equations is:
y = x + 5
y = -x + 5
To find the number of solutions, we can compare the slopes of the two equations. The first equation has a slope of 1, and the second equation has a slope of -1. Since the slopes are not equal, the two lines will intersect at exactly one point.
Therefore, the number of solutions to this system of linear equations is 1.
y = x + 5
y = -x + 5
To find the number of solutions, we can compare the slopes of the two equations. The first equation has a slope of 1, and the second equation has a slope of -1. Since the slopes are not equal, the two lines will intersect at exactly one point.
Therefore, the number of solutions to this system of linear equations is 1.
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