Aaron and Blake both wrote down equation. Their equation has the same slope, But Aaron's y-intercept was negative and Blake's y-intercept was positive. How many solutions for their system of equations have? Explain your reasoning

Question

05-02-2020
Mathematics

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Aaron and Blake both wrote down equation. Their equation has the same slope, But Aaron's y-intercept was negative and Blake's y-intercept was positive. How many solutions for their system of equations have? Explain your reasoning

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Answer:

Parallel lines do not intersect therefore the system of equations cannot have any solution. Therefore there no solutions to the given system of equations.

Step-by-step explanation:

Aaron and Blake both wrote down equation. Their equation has the same slope, But Aaron's y-intercept was negative and Blake's y-intercept was positive.

Therefore both equations will represent lines that are parallel.

Parallel lines do not intersect therefore the system of equations cannot have any solution.