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25 votes
PLEASE HELP

How many solutions does the system of equations below have?
y = 9x + 8
y = 9x + 2/5

A. No Solution
B. Infinitely Many Solutions
C. One Solution

User Ninja Dude
by
3.4k points

2 Answers

1 vote

Final answer:

The system of equations given defines two lines that are parallel and do not intersect, resulting in no solution.

Step-by-step explanation:

The system of equations provided:

  • y = 9x + 8
  • y = 9x + 2/5

These two equations have an identical slope (9) but different y-intercepts (8 and 2/5). Since they have the same slope but different y-intercepts, they are parallel lines and will never intersect. Therefore, there is no solution to this system of equations. When you encounter a system of linear equations where the coefficients of x (the slopes of the lines) are the same, and the constant terms (the y-intercepts) are different, you can conclude that the lines are parallel and thus have no points of intersection.

User Aossey
by
2.8k points
6 votes

Answer: C

Step-by-step explanation:

because they solution can only be use to one answer

User Lacefarin
by
3.0k points