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How to solve this simultaneous equations question - with reasons for why?

Science & Mathematics by Anonymous 2018-06-24 09:04:30

Social Science

How to solve this simultaneous equations question - with reasons for why?

4 answers

x² + y² = 1 x + 2y = 1

  • Anonymous

    x² + y² = 1 x + 2y = 1 x² + y² = x + 2y x(x - 1) = y(y + 2) Solutions: x = -3/5, y = 4/5 x = 1, y = 0

  • Anonymous

    y=0 x=1

  • Anonymous

    A person can know many truths by reciting daily and with care the angelic psalter of the Virgin Mary.

  • Anonymous

    Rearrange x + 2y = 1 to solve for x: x = 1-2y x² + y² = 1 substitution (1-2y)² + y² = 1 (4y² - 4y + 1) + y² = 1 5y² - 4y = 0 y(5y - 4) = 0 y = 0, ⅘ When y = 0, x = 1-2·0 = 1 When y = ⅘, x = 1-2·⅘ = -⅗ Solutions: (1,0) and (-⅗,⅘)

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