ImaMermaid29
  • ImaMermaid29
The coordinates below represent two linear equations. How many solutions does this system of equations have? Line 1 x y –1 6 0 4 Line 2 x y 0 7 1 5 A. 0 B. exactly 1 C. exactly 2 D. infinitely many
Mathematics
  • Stacey Warren - Expert brainly.com
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katieb
  • katieb
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ImaMermaid29
  • ImaMermaid29
@Astrophysics ?
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So first find the slope for each line or rise over run
ImaMermaid29
  • ImaMermaid29
okay one second

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ImaMermaid29
  • ImaMermaid29
would it be D?
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What are the slopes? If they both have the same slope, then yes it is D or infinite solutions
ImaMermaid29
  • ImaMermaid29
I got -2/1 for both slopes :)
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Yup I got the same as well. So on a graph it would just look like 1 slope as they are on top of each other
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Thus when we are looking for solutions which are intersections, we can say infinite solutions because the slopes will intersect continuous on forever
ImaMermaid29
  • ImaMermaid29
thanks :) I do have a question
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Sure
ImaMermaid29
  • ImaMermaid29
how would I know if the answer was 1, 2, or 0?
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They would have 1 solution if they had different slopes because eventually the different slopes would intersect at 1 point
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Wait!
ImaMermaid29
  • ImaMermaid29
okay
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We are not done! So after we have both slopes we use the point slope formula https://www.mathsisfun.com/algebra/line-equation-point-slope.html
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So with the same slopes we use the point slope formula
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|dw:1449800832535:dw|
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So the answer is 0 or A
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Heres a picture |dw:1449801091980:dw|
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They will never touch so 0 solutions
ImaMermaid29
  • ImaMermaid29
okay a little confusing but thanks for all the help!! :)
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To solve your problem first find the slope then use the point slope equation using 1 point from each line
ImaMermaid29
  • ImaMermaid29
alright :)

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