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9th Foundation NTSE

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Maths / Linear Equations in Two Variables / Linear Equation in One Variable
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Linear Equation in One Variable

An equation is said to be a Linear Equation if it is an equation and it is of degree one. Moreover it has only one variable or unknown. The general form is  ax+b=0;;or,;;ax=b,  where a , b are real numbers such that aneq 0.  The value of the variable which satisfies a given linear equation is known as its solution. The solution of a linear equation is also known as its root. If ax=b  is a linear equation, then x=frac{b}{a}  is its solution or root.

For Example:

  • large 3x+5=0 is a linear equation of degree one as it has an equal sign, is of degree one and has only one variable i.e. x
  • large 3x+2y -7=0 is not a linear equation of degree one as it has an equal sign, is of degree one, but it has two variable i.e. x and y.
  • large 5x^2+2y -7=0is not a linear equation of degree one as it has an equal sign, but is not of degree one, moreover it has two variable i.e. x and y.
  • large 5x -7 is not a linear equation of degree one as it does not have an equal sign, where as it is of degree one, and moreover it has only one variable i.e. x.

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