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26 December, 14:20

3y=11-2x, 3x=y-11 linear equation solve using the algebraic method check solution

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  1. 26 December, 14:23
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    (x, y) = ( - 2, 5)

    Step-by-step explanation:

    given the 2 equations

    3y = 11 - 2x → (1)

    3x = y - 11 → (2)

    Rearrange (2) expressing y in terms of x

    add 11 to both sides

    y = 3x + 11 → (3)

    Substitute y = 3x + 11 into (1)

    3 (3x + 11) = 11 - 2x

    9x + 33 = 11 - 2x (add 2x to both sides)

    11x + 33 = 11 (subtract 33 from both sides)

    11x = - 22 (divide both sides by 11)

    x = - 2

    Substitute x = - 2 in (3) for corresponding value of y

    y = (3 * - 2) + 11 = - 6 + 11 = 5

    As a check

    substitute x = - 2, y = 5 into (1) and (2) and if the left side equals the right side then these values are the solution.

    (1) : left side = (3 * 5) = 15

    right side = 11 - (2 * - 2) = 11 + 4 = 15 ⇒ left = right

    (2) : left side = (3 * - 2) = - 6

    right side = 5 - 11 = - 6 ⇒ left = right

    solution = ( - 2, 5)
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