Question

How many solutions does the system have? You can use the interactive graph below to find the answer. ⎩ ⎪ ⎪ ⎨ ⎪ ⎪ ⎧ ​ y=−5x−1 y=−5x+7 ​ Choose 1 answer:

Edit:
the answer choices
A Exactly one solution
B No solutions
C Infinitely many solutions

Answer 1

infinity many solutions

Explanation:

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Answer 2

B No solutions

Explanation:

The solutions to a system of equations are those points where the graphs of the equations intersect.

Application

The system of equations ...

• y=−5x−1
• y=−5x+7

describes two lines, each with a slope of -5, but with different y-intercepts. Lines with the same slope are parallel. These parallel lines do not intersect, so they have no points in common.

The system of equations has no solutions.