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10 February, 06:32

2x - y = 10

y = - x - 1

Solve the system of equations

(9, 8)

(3, - 4)

no solution

+3
Answers (2)
  1. 10 February, 07:46
    0
    You can plug - x - 1 for y in the first equation

    2x - (-x - 1) = 10

    2x + x + 1 = 10

    Combine

    3x = 9

    Divide

    x = 3

    Plug 3 for x in any equation (I'll use th second equation)

    y = - (3) - 1

    y = - 3 - 1 = - 4

    x = 3; y = - 4

    (3, - 4)
  2. 10 February, 08:50
    0
    2x - y = 10 ... (a)

    y = - x - 1 ... (b)

    Substitute y = - x - 1 into equation (a)

    2x - y = 10

    2x - (-x - 1) = 10

    2x + x + 1 = 10

    3x + 1 = 10

    3x = 10 - 1

    3x = 9

    x = 9/3 = 3. x = 3

    Recall, y = - x - 1 = - 3 - 1 = - 4

    Hence solution (x, y) = (3, - 4)
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