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2 April, 22:39

What is the solution to the system of equations y=x+3, y=3x+1

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  1. 3 April, 01:32
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    Substitution method

    y = x + 3 (*)

    y = 3x + 1 (**)

    Substitute (*) to (**):

    3x + 1 = x + 3 subtract 1 from both sides

    3x = x + 2 subtract x from both sides

    2x = 2 divide both sides by 2

    x = 1

    Put the value of x to (*):

    y = 1 + 3

    y = 4Answer: x = 1 and y = 4 → (1, 4).
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