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44 votes
44 votes
6. y = -3x + 2
y = -3x - 7

User Barrypicker
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1 Answer

27 votes
27 votes

Answer:

No solutions. The lines are parallel.

Explanation:

y = -3x + 2

y = -3x - 7

I assume the question is to find the value of x that will make both equations equal.

We could set them equal to each other and solve for x, but a problem becomes immediately apparent:

-3x + 2 = -3x - 7

2 = -7

This may be true in the Andromeda Galaxy, but on Earth it is not.

A closer look at the equations tells us why these lines never intersect: they have the same slope, -3. They are parallel. Thus there is no common (x,y) that will solve both equations.

User Baarkerlounger
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2.7k points