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If you divide both sides of an equation by some non-zero number then they remain the same. The non-zero number part is added because we cannot divide by zero.

Example:

2x+2=10

Divide by sides by 2 and we have

x+1=5 which is the same as the original equation.

The solution to both is x=4

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Q: How can you define the division property of equality?
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Related questions

What is the word to a property of equality used to solve multiplication equations?

division property of equality or multiplication property, if you multiply by the reciprocal


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What is division property of equality?

i just need an example thank you


What are the properties of equalities?

Properties of EqualitiesAddition Property of Equality (If a=b, then a+c = b+c)Subtraction Property of Equality (If a=b, then a-c = b-c)Multiplication Property of Equality (If a=b, then ac = bc)Division Property of Equality (If a=b and c=/(Not equal) to 0, then a over c=b over c)Reflexive Property of Equality (a=a)Symmetric Property of Equality (If a=b, then b=a)Transitive Property of Equality (If a=b and b=c, then a=c)Substitution Property of Equality (If a=b, then b can be substituted for a in any expression.)


What does the division property of equality allow you to do?

you can just use multilecation to do division The division POE (property of equality) Allows you to divide each side of an equation by the same number. If I were solving for x in this equation, I would use the division POE -2x = 4 /-2 /-2 x = -2


Why do you use the Division Property of Equality to solve an equation with multiplication?

Because you need to use inverse operations and the opposite of multiplication is division.


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what- chose the property of equality that justifies the step. prove: if 10x +5= 2x-11, then x=-2?

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Define the Division Property of Equality An art teacher got a deal on 375 paintbrushes and bought them all If the teacher has 125 students write an equation the teacher could use to figure out how m?

The Division Property of Equality states that if we divide both sides of an equation by the same non-zero number, the equality still holds. In this case, the teacher could use the equation m = 375 / 125 to figure out how many paintbrushes each student will receive, as m represents the number of paintbrushes per student.


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An equality defines a specific point (or points). An inequality can define an interval.


which property of equality does this represent4(a + 5) = 4a + 20?

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Is the reflexive property of relations the same as the addition property of equality?

The reflexive property of relations is not the same as the addition property of equality.