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Linear Equation Definition


Linear Equation

An equation in which the highest power of the variable is called a linear equation. A linear equation that has only one variable is called a linear equation in one variable.

The standard form of a linear equation in one variable is ax + b = c, where a, b and c are numbers and x is a variable.

You would remember that equations use the equality(=) sign;

Example: 3x = 10;

Others examples of Linear Equation

Some examples of equations are:

  • 2x
  • 2x+1
  • 6z + 10 = 2
  • 12 – 5z

these are linear equations.

  • x2+ 1
  • y2+ 4
  • x2+ 3x – 7

these are not linear equations (highest power of variable >1 ).

Facts

A linear equation may have any rational number for its solution.

An equation may have linear expressions on both sides.

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