what is the definition of property of equality

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what is the definition of property of equality

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    2021-09-20T23:56:14+00:00

    Answer: Addition property of equality, Subtraction property of equality, Multiplication property of equality, and Division property of equality.

    Step-by-step explanation:

    Addition property of equality is adding the same number to both sides of an equation does not change the equation.

    a+c=b+c

    Example: t-6=13

    add 6 both sides of an equation.

    t-6+6=13+6

    answer: t=19

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    Subtraction property of equality is subtracting the same number from both sides of an equation does not change the equation.

    a-c=b-c

    11=x+5

    switch sides of equation

    x+5=11

    subtract by 5 both sides of an equation.

    x+5-5=11=5

    answer: x=6

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    Multiplication property of equality is multiplying both sides of an equation by the same number does not change the equation.

    a*c=b*c

    t/5=3

    example:

    5/1*t/5=3*5

    then multiply on the right side.

    t=3*5

    answer: t=15

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    Division property of equality is dividing both sides of an equation by the same non-zero number does not change the equation.

    a/c=b/c for c≠0

    10a/10=130/10

    divide by 10 both sides of an equation.

    10a/10=130/10

    simplify.

    130/10=13

    answer: a=13

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    Hope this helps!

    Thanks!

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