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11 July, 02:17

Solve the system of equations using substitution x = 3y - 6

2x - 4y = 8

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Answers (1)
  1. 11 July, 05:54
    0
    (24, 10)

    Step-by-step explanation:

    We are to solve the system

    x = 3y - 6

    2x - 4y = 8

    using substitution. Note that the first equation has already been solved for x. Thus, we can substitute 3y - 6 for x in the second equation:

    2 (3y - 6) - 4y = 8.

    Carrying out the indicated multiplication, we get

    6y - 12 - 4y = 8.

    Combining the y terms, we get

    2y = 20, so that y = 10.

    Use the first given equation to find x:

    x = 3y - 6 becomes x = 3 (10) - 6, or x = 24.

    Then the solution is (24, 10).
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