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5 November, 07:54

X-2y=8

4x+y=5

Solve linear systems by Multiplying

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Answers (1)
  1. 5 November, 08:02
    0
    x = 2 and y = - 3

    Step-by-step explanation:

    The given system of linear equations:

    x - 2y = 8 ... (1)

    and 4x + y = 5 ... (2)

    To find, the values of x and y = ?

    Multiplying equation (2) by 2, we get

    2 (4x + y) = 5 * 2

    ⇒ 8x + 2y = 10 ... (3)

    Adding equations (1) and (3), we get

    x - 2y + (8x + 2y) = 8 + 10

    ⇒ x - 2y + 8x + 2y = 8 + 10

    ⇒ 9x = 18

    ⇒ x = 2

    Put x = 2 in (1), we get

    2 - 2y = 8

    ⇒ 2y = 2 - 8

    ⇒ 2y = - 6

    ⇒ y = - 3

    ∴ x = 2 and y = - 3
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