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30 October, 18:29

Solve the simultaneous equations: 2x+3y=10

x-y=5

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  1. 30 October, 18:45
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    Well first you would like to get like variables on each side for just one variable. for example:

    2x + 3y = 10 and x - y = 5

    You would change the x - y so that way the x variable would be isolated:

    x = 5 + y

    Now you must substitute the 5 + y into the other equation for x:

    2 (5 + y) + 3y = 10

    10 + 2y + 3y = 10

    Combine like terms 5y + 10 = 10

    In this case it would be insolvable because it would change to 5y = 0

    So let's try the other equation.

    2x + 3y = 10

    5y = 10

    y = 2

    Now substitute this into the other equation:

    x - 2 = 5

    x = 7

    There is your two answers.

    x = 7 and y = 2
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