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20 August, 04:32

Find the solution set for the system of equations.

9x + 5y = 28

5x + 9y = 56

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Answers (1)
  1. 20 August, 05:41
    0
    9x + 5y = 28 ⇒ 81x + 45y = 252

    5x + 9y = 56 ⇒ 25x + 45y = 280

    56x = - 28

    56 56

    x = ⁻¹/₂

    9x + 5y = 28

    9 (⁻¹/₂) + 5y = 28

    4¹/₂ + 5y = 28

    - 4¹/₂ - 4¹/₂

    5y = 23¹/₂

    5 5

    y = 4⁷/₁₀

    (x, y) = 4¹/₂, 4⁷/₁₀)
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