anonymous
  • anonymous
What are the solutions that satisfy the nonlinear system of equations below? Select all answers that apply. y=3x 3x^2+y^2=12 A. (-1, 3) B. (10, -3) C. (1, 3) D. (-1, -3) E. (-3, 1) F. (3, -1)
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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bahrom7893
  • bahrom7893
y=3x, therefore 3x^2 + (3x)^2 = 12 3x^2+9x^2 = 12 12x^2 = 12 x^2 = 1
bahrom7893
  • bahrom7893
What possible values can x have?
anonymous
  • anonymous
so that would be C. 1,3? is that all that could be applied

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bahrom7893
  • bahrom7893
no x can also be -1, because (-1)^2 = 1
anonymous
  • anonymous
im not sure what values x may have the question doesn't say anymore then what i posted up
bahrom7893
  • bahrom7893
Select all answers that apply. x=-1, what's y?
anonymous
  • anonymous
Oh okay so im looking at answers A and C,
anonymous
  • anonymous
y is 3
anonymous
  • anonymous
when \[x ^{2}=1\] \[x={\pm}1\] so y=3 when x=1 and y=-3 when x=-1
bahrom7893
  • bahrom7893
No x=-1 y = 3x = 3*(-1) = -3
anonymous
  • anonymous
so C and D are the answers
anonymous
  • anonymous
thanks @aditya96 for clarifying that(:

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