How to solve Linear Equations ✏ Mathematics In a Nutshell

Rucete ✏ Mathematics In a Nutshell




Linear equation

A linear equation is one in which the variable's highest exponent is always 1.

e.g.  2x - 4 = 0

How to solve Linear Equations

1. If the expression contains parentheses, you must first solve them. 
2. Following that, all terms containing unknowns should be left alone, while all constant terms should be right. 
3. Afterward, using the equation's properties, convert it to the form ax = b.



Example

2x + 7 = 4x - 9

--> 2x - 4x = -9 - 7
--> -2x = -16
--> x = 8

2(2x + 3) = 2x + 4

--> 4x + 6 = 2x + 4
--> 4x - 2x = 4 - 6
--> 2x =  -2
--> x = -1

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