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Thread: Simultaneous equations

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    Simultaneous equations

    Please help how do you solve these simultaneously

    Solve y= 2^x and y= 1+2x-x^2 simultaneously

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    Re: Simultaneous equations

    https://i.imgur.com/lSyZfKG.jpg
    Soz if a bit messy.
    Last edited by si2136; 21 Jan 2018 at 7:41 PM.

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    Re: Simultaneous equations

    Quote Originally Posted by dtmliao View Post
    Is this question part of the harder 2u questions for 3u maths?
    The question gives the point of intersection and asks to show that these are points of intersection so I don't know if they just want us to substitute into both equations to check Left and right side are equal or whether they want us to solve it simultaneously

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    Re: Simultaneous equations

    To prove that two lines intersect at a point, the only thing you need to do is show that the point satisfies the equations of both of the lines.

    There's no need to solve the equations if the answer is already given to you.
    HSC 2018 - [English Adv.] • [Maths Ext. 1] • [Maths Ext. 2] • [Chemistry] • [Software Design and Development]

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    Re: Simultaneous equations

    Or you could solve one by solving for the other, (by this method i got -1)
    and you could use the given points and sub it in to prove they really do intersect at x= -1 and x=0

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