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18 January, 20:18

Choose a system of equations with the same solution as the following system:

6x+2y=-6

3x-4y=-18

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Answers (1)
  1. 18 January, 20:37
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    x + 2 = 0 and y - 3 = 0

    Step-by-step explanation:

    We have to find the solution of the system of equations

    6x + 2y = - 6 ... (1)

    ⇒ 12x + 4y = - 12 ... (2) and

    3x - 4y = - 18 ... (3)

    Now, solving equations (2) and (3) we get,

    15x = - 30

    ⇒ x = - 2

    Hence, from equation (1) we get, 2y = - 6 - 6x = - 6 - 6 ( - 2) = 6

    ⇒ y = 3

    Therefore, the solution of the given system of equations is (-2,3).

    Now, x + 2 = 0 and y - 3 = 0 are another system of equations that have the same solutions. (Answer)
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