Jada and Priya are trying to solve the equation 23+x=4. Jada says, “I think we should multiply each side by 32 because that is the reciproca

Question

Jada and Priya are trying to solve the equation 23+x=4. Jada says, “I think we should multiply each side by 32 because that is the reciprocal of 23.” Priya says, “I think we should add -23 to each side because that is the opposite of 23.” Which person’s strategy should they use? Why? Write an equation that can be solved using the other person’s strategy.

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Ruby 2 weeks 2021-09-11T21:02:05+00:00 1 Answer 0

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    2021-09-11T21:03:06+00:00

    Answer:

    Therefore,

    Priya’s way is correct to  solve the equation.

    Other person Strategyis Equation is

    23+ x -23=4-23

    Step-by-step explanation:

    Given:

    Jada and Priya are trying to solve the equation,

    23+ x=4

    For Jada way of calculation :

    I think we should multiply each side by 32 because that is the reciprocal of 23.

    Also Reciprocal of 23 is \dfrac{1}{23}

    We have

    32\times (23+x)=32\times 4Which is INCORRECT

    For Priya way of calculation :

    I think we should add -23 to each side because that is the opposite of 23.

    We have

    23+ x +(-23)=4+(-23)

    plus minus= minus , (+ – = – )

    23 will get cancelled and she will get “x”

    23+ x -23=4-23\\\\x=-19Which is CORRECT

    Hence Priya’s way is correct to  solve the equation.

    The other Person strategy to solve will be:

    I think we should subtract 23 to each side because that is the opposite of 23.

    We have

    23+ x -23=4-23\\\\x=-19Which is also CORRECT.

    Therefore,

    Priya’s way is correct to  solve the equation.

    Other person Strategyis Equation is

    23+ x -23=4-23

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