   Chapter A.2, Problem 27E Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085

Solutions

Chapter
Section Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085
Textbook Problem

In Exercises 21 to 32, solve each equation. 2 ( x + 1 ) = 30 − 6 ( x − 2 )

To determine

To solve:

The given equation.

Explanation

Properties of equation solving:

1) Addition Property of Equality (if a=b, then a+c=b+c): An equivalent equation results when the same number is added to each side of an equation.

2) Subtraction Property of Equality (if a=b, then ac=bc): An equivalent equation results when the same number is subtracted from each side of an equation.

3) Multiplication Property of Equality (if a=b, then ac=bc for c0): An equivalent equation results when each side of an equation is multiplied by the same nonzero number.

4) Division Property of Equality (if a=b, then ac=bc for c0): An equivalent equation results when each side of an equation is divided by the same nonzero number.

Calculation:

Given: 2(x+1)=306(x2)

By expanding the brackets we have:

2x+21=306x6(2)2x+2=306x+122x+2=426x

Addition Property of Equality

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