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​ y=3x+3 y=−2x+3 ​ how many solutions does the system have

User Tvdeyen
by
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1 Answer

7 votes

Answer: One solution

Explanation:

y = 3x + 3

y = -2x + 3

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To solve this, you need to understand a few things:

a) If two lines have the same slope but different y-intercepts, they are parallel when graphed and thus do not have any solutions

b) If two lines have the same slope and same y-intercepts, they are the same line when graphed and thus do not have infinitely many solutions

c) If two lines have different slopes (and/or y-intercepts), they have one solution

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These two lines have different slopes but the same y-intercept (condition c)

So they have one solution

User Himansu
by
3.9k points