The third and fourth lines of this solution are optional. It could have looked Solving Linear Equations with Algebra like this: x+ 2 = 5 -2 = -2 x 3 If the constant is negative, you eliminate it with the addition property of equality. x-2= 5 +2 = +2 x = 7 Some equations like 3x= 12 have a number being multiplied by the variable. This number, which is 3 in this example, is called the coefficient. Coefficients can be eliminated with the division property of equality. 3x 12 3x 12 3 3 %3D Lr =4 x=4 The third line of this solution is optional. When the coefficient is a fraction, the multiplicative property of equality can be used. Multiply both sides of the equals sign by the reciprocal (also known as the multiplicative inverse) to eliminate the coefficient. 3 2 3 18 2 3 2 1 lx = 54 x= 27 The third line of this solution is optional. MATH FACTS When a fraction is multiplied by its reciprocal, the product is the number 1. So if the coefficient of a variable is a fraction, as in

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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The third and fourth lines of this solution are optional. It could have looked
Solving Linear Equations with Algebra
like this:
x+2 = 5
-2 = -2
x= 3
If the constant is negative, you eliminate it with the addition property of
equality.
x-2= 5
+2 = +2
x = 7
Some equations like 3x= 12 have a number being multiplied by the variable.
This number, which is 3 in this example, is called the coefficient. Coefficients
can be eliminated with the division property of equality.
3x 12
3x 12
%3D
3 3
Ir =4
x=4
The third line of this solution is optional.
When the coefficient is a fraction, the multiplicative property of equality
can be used. Multiply both sides of the equals sign by the reciprocal (also
known as the multiplicative inverse) to eliminate the coefficient.
3.2 3 18
2 3 2 1
Lr= 54
x= 27
The third line of this solution is optional.
MATH FACTS
When a fraction is multiplied by its reciprocal, the product is the
number 1. So if the coefficient of a variable is a fraction, as in
Transcribed Image Text:The third and fourth lines of this solution are optional. It could have looked Solving Linear Equations with Algebra like this: x+2 = 5 -2 = -2 x= 3 If the constant is negative, you eliminate it with the addition property of equality. x-2= 5 +2 = +2 x = 7 Some equations like 3x= 12 have a number being multiplied by the variable. This number, which is 3 in this example, is called the coefficient. Coefficients can be eliminated with the division property of equality. 3x 12 3x 12 %3D 3 3 Ir =4 x=4 The third line of this solution is optional. When the coefficient is a fraction, the multiplicative property of equality can be used. Multiply both sides of the equals sign by the reciprocal (also known as the multiplicative inverse) to eliminate the coefficient. 3.2 3 18 2 3 2 1 Lr= 54 x= 27 The third line of this solution is optional. MATH FACTS When a fraction is multiplied by its reciprocal, the product is the number 1. So if the coefficient of a variable is a fraction, as in
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