MathsAlgebraLinear EquationsSolution of a Linear Equation

Solution of a Linear Equation

Table of Contents

  • Solution of an Equation
  • Linear Equation in One Variable
  • Summary
  • What’s Next?

In the previous segment of Class 6 Maths, we learnt how to count terms. In this segment, we will learn about Solution of an equation.

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    What is the Solution of an equation?

    An equation is said to be satisfied when its L.H.S. is equal to R.H.S after replacing the variable with a numerical value.

    The value of a variable that can satisfy an equation is called the Solution of that equation. For example,

    Consider the equation 6x + 3 = 21.

    When x = 3 is put in the L.H.S, of this equation, then L.H.S. = 6(3) + 3 = 18 + 3 = 21 = R.H.S.

    Thus, x = 3 satisfies the equation 6x + 3 = 21.

    Hence, x = 3 is the solution of the equation 6x + 3 = 21.

    What is a Linear equation in one variable?

    An equation that consists of only one variable and whose highest power in the equation is 1 is called a Linear equation in one variable. They are also called as First degree equations in one variable.

    For example,

    ● 6x + 45 = 81

    ● 17y = 10

    ● z – 6 = 4

    Summary

    Solution of an Equation

    The value of a variable that can satisfy an equation

    Linear Equation in one Variable

    • An equation that consists of only one variable and whose highest power in the equation is 1
    • Also called as First degree equations in one variable.

    What’s next?

    In our next segment of Class 6 Maths, we will understand the solution of an equation.

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