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13 September, 09:02

Which is the value of y in the system of equations 4x-5y=18 5x+y=58

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  1. 13 September, 09:17
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    Using systems of equations, we need to eliminate one variable to make it into a 1 variable equation either using elimination or substitution.

    Equation 1: 4x - 5y = 18

    Equation 2: 5x+y = 58

    For equation 2, there is only one y which makes it easy to substitute. So subtract 5x from both sides of the equation to get

    y = - 5x+58

    Then we know what y is in terms of x, so plug it into equation 1.

    4x - 5 (-5x+58) = 18

    It is now an equation with only 1 variable, which we can solve.

    Distribute the - 5 to (-5x+58)

    4x+25x-290 = 18

    Combine like terms

    29x-290 = 18

    Add 290 to both sides

    29x = 308

    Divide both sides by 29 to isolate the x

    x = 308/29 wow what an ugly number, but its alright

    Plug in x to equation 2 to find what y is

    5 (308/29) + y = 58

    1540/29+y = 58

    Subtract 1540/29 from both sides

    y = 142/29

    The y value is 142/29
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