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Solve the system of equations.

3x + y = 3

x + y = 2

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Answers (1)
  1. 6 July, 14:36
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    When solving system equations, we can use substitution method or elimination. Today I'm using substitution method.

    First name the 2 equations.

    3x + y = 3 (1)

    x + y = 2 (2)

    Now pick one equation and express one algebra in forms of the other.

    From (2),

    x = 2 - y (3)

    Now substitute (3) into (1),

    3 (2-y) + y = 3

    6 - 3y + y = 3

    6 - 2y = 3

    6 - 3 = 2y

    y = 1.5

    Now substitute y = 1.5 into (2)

    x + 1. 5 = 2

    x = 2 - 1.5

    x = 0.5

    Therefore the answer is x = 0.5 and y = 1.5
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