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18 December, 16:15

How many solutions are there to the following system of equations?

5x 3y=7

2x-y=2

+2
Answers (1)
  1. 18 December, 16:42
    0
    5x + 3y = 7 (1)

    2x - y = 2 (2)

    Multiply (2) by 3:

    6x - 3y = 6 (3)

    Take (1) + (3):

    (5x + 6x) + (3y-3y) = 7+6

    ⇒ 11x = 13

    ⇒ (11/11) * x = 13/11

    ⇒ x = 13/11.

    y = 2*13/11 - 2 = 4/11

    The final answer is x=13/11, y=4/11.
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