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1 February, 21:13

What is the solution set of the following system of equations?

5x - 3y - 10 = 0

x + y - 7 = 0

{ (31/8, 25/8) }

{ (25/8, 31/8) }

{ (45/2, 31/2) }

{ (31/2, 45/2) }

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Answers (1)
  1. 1 February, 21:42
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    (31/8, 25/8)

    Step-by-step explanation:

    We can do this using the Elimination Method.

    Try eliminating y

    (5x - 3y - 10 = 0)

    3 * (x + y - 7) = 3 * 0

    3x + 3y - 21 = 0

    Add the two equations now.

    5x - 3y - 10 + 3x + 3y - 21 = 0 + 0

    5x + 3x - 3y + 3y - 10 - 21 = 0

    8x - 31 = 0

    8x = 31

    x = 31/8

    Next we find y by plugging in for x in x + y - 7 = 0

    (31/8) + y - 7 = 0

    y = 7 - 31/8

    y = 56/8 - 31/8

    y = 25/8
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