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Chapter 6: Problem 116

State the addition property of equality and give an example.

Short Answer

Expert verified
The Addition Property of Equality states that for any real numbers a, b, and c, if a = b, then a + c = b + c. An example is 5 + 2 = 5 + 2, which simplifies to 7 = 7.

Step by step solution

01

Definition of Addition Property of Equality

The Addition Property of Equality states that for any real numbers a, b, and c, if a = b, then a + c = b + c. Basically, it means that the same quantity can be added to both sides of an equation without changing the equation's equality.
02

Example

To illustrate this, consider an equation: 5 = 5. According to the Addition Property of Equality, if you add 2 to both sides of the equation, it remains true: 5 + 2 = 5 + 2 results in 7 = 7.

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Most popular questions from this chapter

Solve the equations using the quadratic formula. \(x^{2}+8 x+12=0\)

Solve the equations using the quadratic formula. \(x^{2}+4 x-7=0\)

Solve the quadratic equations by factoring. \(x^{2}-12 x=-36\)

Solve the equations using the quadratic formula. \(x^{2}+5 x+2=0\)

Determine whether each statement makes sense or does not make sense, and explain your reasoning. I began the solution of \(5-3(x+2)>10 x\) by simplifying the left side, obtaining \(2 x+4>10 x\).
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