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28 October, 09:53

the sum of two numbers is 186 the difference between the same numbers is 32. create a system of equations to model the situation

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  1. 28 October, 10:14
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    x + y = 186

    x - y = 32

    therefore x = 109

    y = 77

    Step-by-step explanation:

    let the two numbers be x and y

    sum of the two numbers equals 186 implies that

    x + y = 186 ... eqn 1

    the difference between the same numbers is 32 implies that

    x - y = 32 ... eqn 2

    from equation 2

    x - y = 32

    x = 32 + y ... eqn 3

    substitute for x = 32 + y in equation 1

    x+y = 186

    32 + y + y = 186

    32 + 2y = 186

    2y = 186-32

    2y = 154

    divide both sides by 2

    2y/2 = 154

    y = 77

    put y = 77 in equation 3

    x = 32 + y ... eqn 3

    x = 32 + 77

    x = 109

    check if your answer is correct

    from x + y = 186

    109 + 77 = 186

    186 = 186 ... proved
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