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19 May, 04:53

3x + 2y = 6 4x + y = 1 Solve the system of equations. (-4/5, 21/5) (8/11, - 21/11) no solution

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Answers (2)
  1. 19 May, 06:10
    0
    The system of equations has no solution.
  2. 19 May, 08:43
    0
    3x + 2y = 6

    4x + y = 1

    Solve the second equation for y:

    y = - 4x + 1

    Substitute - 4x + 1 for y in the first equation.

    3x + 2 (-4x + 1) = 6

    3x - 8x + 2 = 6

    -5x = 4

    x = - 4/5

    Now substitute x with - 4/5 in the first original equation.

    3x + 2y = 6

    3 * (-4/5) + 2y = 6

    -12/5 + 2y = 6

    -12 + 10y = 30

    10y = 42

    y = 42/10

    y = 21/5

    Solution: (-4/5, 21/5)
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