Question

What is the definition of property of equality

Answer 1

The algorithm for solving equations is based on a very important property called the property of equality, which says that whatever is done to one side of the equation must also be done to the other side.

Explanation:

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Answer 2

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

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!

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