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22 April, 08:25

What is the answer to the question 4x+2y=8 5x-3y=4 using elimination and addition?

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  1. 22 April, 08:33
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    4x + 2y = 8 ⇒ 12x + 6y = 24

    5x - 3y = 4 ⇒ 10x - 6y = 8

    22x = 32

    22 22

    x = 1⁵/₁₁

    4x + 2y = 8

    4 (1⁵/₁₁) + 2y = 8

    5⁹/₁₁ + 2y = 8

    - 5⁹/₁₁ - 5⁹/₁₁

    2y = 2²/₁₁

    2 2

    y = 1¹/₁₁

    (x, y) = (1⁵/₁₁, 1¹/₁₁)
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