Linear Equations Solutions, Shortcut Tricks and Video Tutorial

Linear Equations Video Tutorial - Page 6

An equation is a statement of equality which involves one or more unknown quantities, called the variables.
An equation involving only linear polynomials is called a Linear Equations.
The following are some examples of linear equations.

• 2x + 3 = 1
• $\frac{3}{2}$ x + 5 = 2x + 7
• $\frac{5}{3}$ y – 16 = 3y + 4

Solving a linear equation

Solving a linear means finding a value of the variable which satisfies the equation.
While solving a linear equation, following properties of equality are to be remembered.

• Same quantity can be added to both sides of an equality.
• Same quantity can be subtracted from both sides of an equality.
• Both sides of an equality can be multiplied by the same quantity (≠0).
• Both sides of an equality can be divided by the same Non-zero quantity.
• While transposing a term from one side to the other side of equality, the sign of the term must be changed.
• The terms involving the variable are kept on one side (LHS) of equality and terms not involving the variable are on other side.

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