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    Integers and Equations using the Multiplication Principle

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    Solve using the Multiplication principle.
    Determine whether 24 is a solution of the equation;
    Translate to an algebraic expression
    Solve using the addition principle

    © BrainMass Inc. brainmass.com November 30, 2021, 3:10 am ad1c9bdddf
    https://brainmass.com/math/basic-algebra/integers-equations-using-multiplication-principle-239485

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    1.
    Solve using the Multiplication principle. Don't forget to check.
    -17x=187
    Solution:
    Divide each side by -17
    => x = 187/-17 = -11
    Check:
    Substitute x = -11, we will get
    -17(-11) = 187
    Thus it is correct.
    2.
    Determine whether 24 is a solution of the equation; x+11=33; Is 24 a solution? Yes or NO
    N0, because 24 + 11 = 43
    Solve using the principle don't forget to check: 2x-14=2
    The solution is x=
    2x-14=2
    Add 14 to each side
    2x = 16
     x = 8
    Substitute x = 8 in given equation
    2(8) - 14 = 16 -14 = 2
    Thus, it satisfies the given equation.
    The solution is x = 8.

    3. Solve : 5(x-6) + 4= 7(x+2)-8
    5x - 30 + 4 = 7x + 14 - 8
    5x - 26 = 7x + 6
    5x - 7x = 6 + 26
    -2x = 32
    => x = 32/-2 = -16

    4. Simplify; [3-8(7-8)]
    = [ 3 - 8(-1)] = 3 + 8 = 11
    5. Translate to an algebraic expression; The product of 38% and some number
    The ...

    Solution Summary

    This provides examples of working with algebra problems, including solving equations, writing algebraic expressions, and performing operations on positive and negative integers.

    $2.49

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