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Maths study material for understanding equations

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10th Grade Mathematics - Equations



1. Linear Equations in One Variable




Linear equations in one variable are equations where the variable has a maximum exponent of 1.

General form: ax + b = 0




Examples:

1. 2x + 5 = 15 -> x = 5

2. 3x - 7 = 2 -> x = 3




Steps to solve:

- Move constants to one side

- Isolate the variable

- Solve for x

, 10th Grade Mathematics - Equations



2. Linear Equations in Two Variables




General form: ax + by + c = 0




Example:

1. 2x + 3y = 12

2. x - y = 4




Solution Methods:

- Substitution Method

- Elimination Method

- Graphical Method




Solutions are represented as coordinate pairs (x, y).

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