math

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1. x^2 + y^2 = 20
x+y=6

2. y=x^2-2x+1
y-3=x

How would I go about solving these?

  • math -

    !. from the 2nd : y = 6-x
    sub into the 1st:
    x^2 + (6-x)^2 = 20
    x^2 + 36 - 12x + x^2 - 20 = 0
    2x^2 - 12x + 16 = 0
    x^2 - 6x + 8 = 0
    (x-4)(x-2) = 0
    x = 4 or x = 2

    2. from the 2nd: y = x+3
    sub into the 2nd
    proceed as above....
    let me know what you got

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