anonymous
  • anonymous
A pair of equations is shown below. x + y = 2 y = one halfx + 5 If the two equations are graphed, at what point do the lines representing the two equations intersect? (4, −2) (−2, 4) (2, 5) (5, −2) Please help I will fail if I dont do this plese help me
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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butterflydreamer
  • butterflydreamer
firstly, you want to make y the subject in the first equation " x + y = 2" :)
anonymous
  • anonymous
ok
anonymous
  • anonymous
Then what

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butterflydreamer
  • butterflydreamer
so can you tell me what it would be?
anonymous
  • anonymous
I know you isolate it but I do not really understand
butterflydreamer
  • butterflydreamer
\[x + y = 2 \rightarrow y = -x + 2 \] right? All i did was subtract "x" from both sides to make y the subject :)
anonymous
  • anonymous
ok then what
anonymous
  • anonymous
you do it to x also
butterflydreamer
  • butterflydreamer
so now we have two equations:|dw:1436241915931:dw|
anonymous
  • anonymous
but which answer is it (4, −2) (−2, 4) (2, 5) (5, −2) is what confuses me
butterflydreamer
  • butterflydreamer
you know what... here's an easier method. Just plug in the values for each option and see which one satisfies the equation. So for example.. the first option (4, -2), this means x = 4, y = -2 Plug this into the first equation " x + y = 2" 4 + (-2) = 2 4-2 = 2 2=2 So this works :) BUT you have to plug the points into the second equation " y = 1/2x + 5" 4 = 1/2 (-2) + 5 4 = -1 + 5 4 = 4 This works SOOO, since (4, -2) works.. this is your point of intersection
anonymous
  • anonymous
oooooooooooooooohhhhhhhhhhhhhhh that is easy
butterflydreamer
  • butterflydreamer
also, you got lucky that was the first option and it was the answer.When in doubt, plug it in. Don't just demand answers.lol

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