Math

QuestionWhat property of equality solves 15+x=18-15+x=18? (A) Addition (B) Subtraction (C) Multiplication (D) Division

Studdy Solution

STEP 1

Assumptions1. The equation is 15+x=18-15+x=18 . The properties of equality are defined as follows (A) Addition Property of Equality If a=ba=b, then a+c=b+ca+c=b+c (B) Subtraction Property of Equality If a=ba=b, then ac=bca-c=b-c (C) Multiplication Property of Equality If a=ba=b, then ac=bcac=bc () Division Property of Equality If a=ba=b and c0c≠0, then a/c=b/ca/c=b/c

STEP 2

In order to solve the equation 15+x=18-15+x=18, we need to isolate xx on one side of the equation. To do this, we need to eliminate 15-15 from the left side of the equation.

STEP 3

We can eliminate 15-15 by adding 1515 to both sides of the equation. This is because adding 1515 to 15-15 gives 00, and the equation becomes x=18+15x=18+15.

STEP 4

This step of adding 1515 to both sides of the equation corresponds to the Addition Property of Equality, which states that if a=ba=b, then a+c=b+ca+c=b+c.
Therefore, the property of equality used to solve the equation 15+x=18-15+x=18 is the Addition Property of Equality.

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