MathsSimple EquationsLinear EquationsSolution of a Linear Equation – Inverse Method

Solution of a Linear Equation – Inverse Method

Table of Contents

  • Coefficient of a Term
  • Equations
  • Summary
  • What’s Next?

In the previous segment of the chapter ‘Simple Equations,’ we looked at solutions of Linear equation. In this segment, we will learn the Inverse method.

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    How to find the solution of an equation by inverse method?

    Whenever an operation is performed on one side of an equation, the exact operation must be performed on the other side of the same equation simultaneously to keep the equation unchanged.

    For example,

    • Consider the equation 13? + 6 = 85 .

    If 10 is added to the L.H.S. of this equation, then 10 must also be added to the R.H.S. to keep the equation balanced.

    That is, 13? + 6 + 10 = 85 + 10.

    • Consider the equation ? − 2 = 5.

    If 1 is subtracted from the L.H.S. of this equation, then 1 must also be subtracted from the R.H.S. to keep the equation balanced.

    That is,? − 2 − 1 = 5 − 1.

    Let us understand how to find the solution of a linear equation in one variable, say 10? + 2 = 302, by the inverse method using the following steps:

    Step 1: Identify the constant terms in the L.H.S. and the R.H.S. of the equation. Here, the constant term in L.H.S. is 2 and that in the R.H.S. is 302

    Step 2: Eliminate the constant terms which are placed along with the variables by adding or subtracting this constant on both sides.

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