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19 June, 06:11

Solve the system y = - x + 7 and y = 0.5 (x - 3) ^2

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  1. 19 June, 09:27
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    Y = - X + 7

    Y =.5 (X-3) 2

    Alright check it out. Substitute the Y in the second equation for the first equation so ...

    -X + 7 =.5 (X-3) 2

    After this, you have to get rid of the. 5 and the 2 which is easy peasy because they just cancel out. If you were to multiply by half and then multiply by 2 then you'd be back to where you started. So ...

    -X + 7 = X - 3

    Move the X to combine them on one side, I moved the - X to the opposite side by adding X to each side so you get ...

    7 = 2X - 3

    You then add 3 to both side so ...

    10 = 2X

    Divide by 2

    X = 5

    So ...

    Y = - 5 + 7

    Y = 2

    Y =.5 (5-3) 2

    Cancel out the. 5 and the 2

    Y = 5-3

    Y = 2

    (5,2) is your answer
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