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4 July, 08:10

Y=2x-1

5x-4y=1



Is (1,1) (1,1) left parenthesis, 1, comma, 1, right parenthesis a solution of the system?

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Answers (1)
  1. 4 July, 08:20
    0
    (1,1) is a solution of the system.

    Step-by-step explanation:

    Let's solve the system.

    y = 2x - 1

    5x - 4y = 1

    In the first equation, y is already separated as a function of x. So we replace in the second equation;

    5x - 4 (2x - 1) = 1

    5x - 8x + 4 = 1

    4 - 1 = 8x - 5x

    x = 1

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

    (1,1) is a solution of the system.
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