anonymous
  • anonymous
First time. Help! Solve the following system of equations and show all work: y=x^2+3 y=x+5
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
y=x^2+3 y=x+5 We can do this x^2 + 3 = x + 5 x^2 - x + 3 - 5 = 0 x^2 - x - 2 = 0 Now , solve this equation for x .
anonymous
  • anonymous
so would it be 2x-x-2=0 x-2=0 x=2?
anonymous
  • anonymous
(x-2)(x+1) = 0 X-2 = 0 or x + 1 = 0 so x is either -1 or 2

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anonymous
  • anonymous
What are the options?
anonymous
  • anonymous
there are no options
anonymous
  • anonymous
Are we suppose to find y also?
anonymous
  • anonymous
i don't know. it's not a multiple choice question :/ it just say solve the system of equations
phi
  • phi
x= -1 or x=2 use those numbers to find the corresponding y in y=x+5
phi
  • phi
this problem has two solutions i.e. two (x,y) points that lie on both the line and the parabola.
anonymous
  • anonymous
so it doesn't matter which x i use ?
phi
  • phi
you use both, one at a time. you want to find two (x,y) pairs where x is -1 in the first pair (and you need to find the y) and x=2 in the other pair
anonymous
  • anonymous
so it would be (-1,4) or (2,7)
anonymous
  • anonymous
Yes.
anonymous
  • anonymous
what do i do about the other y equation?
phi
  • phi
you could use either equation to find y but it makes sense to use the easier one. you are done! btw, here is what you found... where the line meets the parabola
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anonymous
  • anonymous
okay. thank you both so much! how do i give you both medals for helping me out?

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