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29 September, 21:16

What is the solution of the system?

10x-2y=24

6x+2y=8

Enter your answer in the box, as an ordered pair

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Answers (1)
  1. 30 September, 00:08
    0
    The solution is (2, - 2)

    Step-by-step explanation:

    Let's find out the solution of the system:

    10x - 2y = 24

    6x + 2y = 8

    Describing x in terms of y in the first equation, this way:

    10x - 2y = 24

    10x = 24 + 2y

    x = 2 * (12 + y) / 10 (Dividing by 10 at both sides)

    x = (12 + y) / 5 (Simplifying)

    Solving for y in the 2nd equation:

    6x + 2y = 8

    6 * (12 + y) / 5 + 2y = 8

    (72 + 6y) / 5 + 2y = 8

    72 + 6y + 10y = 40 (Multiplying by 5 at both sides)

    16y = 40 - 72

    16y = - 32

    y = - 2

    Solving for x in the 1st equation:

    10x - 2y = 24

    10x - 2 * - 2 = 24

    10x + 4 = 24

    10x = 24 - 4

    10x = 20

    x = 20/10

    x = 2

    The solution is (2, - 2)
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