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21 December, 04:16

Find the solution of this system of equations.

Separate the x - and y-values with a comma.

x - 2y = - 6

x - y = 12

+1
Answers (2)
  1. 21 December, 04:29
    0
    x = 30, y = 18

    Step-by-step explanation:

    Given the 2 equations

    x - 2y = - 6 → (1)

    x - y = 12 → (2)

    Subtracting (2) from (1) term by term will eliminate the term in x

    || (x - x) + ( - 2y - ( - y)) = ( - 6 - 12), that is

    - y = - 18 (multiply both sides by - 1)

    y = 18

    Substitute y = 18 into either of the 2 equations for value of x

    Substituting in (2)

    x - 18 = 12 (add 18 to both sides)

    x = 30
  2. 21 December, 04:33
    0
    Answer: (30,18)

    x - 2y = - 6

    x - y = 12

    x - y = 12

    - y = 12 - x

    y = - 12 + x

    x - 2y = - 6

    x = - 6 + 2*y

    y = - 12 + (-6 + 2*y)

    y = - 12 - 6 + 2*y

    y - 2*y = - 18

    -y = - 18

    y = 18

    y = - 12 + x

    18 = - 12 + x

    -x = - 12 - 18

    x = 12 + 18

    x = 30
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