Class 8 Maths Linear Equations in One Variable Algebraic Equations and Solutions

Algebraic Equations and Solutions

An algebraic equation is an equality involving variables. The expression on the left of equality is called LHS (Left Hand Side) and on the right is called RHS (Right Hand Side).

  • From the above example, an algebraic equation is 2x + 20 = 40, where x is variable. Here 2x + 20 is LHS and 40 is RHS.

A Solution is the true value of the variables in the algebraic equations for which the equation holds true and LHS is equal to RHS.

  • From the above example, algebraic equation is 2x + 20 = 40.
    • For x = 10, 2 * 10 + 20 = 40. Or, 40 = 40. Since LHS = RHS, hence x = 10 is the solution.
    • For x = 5, 2 * 5 + 20 = 40.Or, 30 = 40. Since LHS ≠ RHS, hence x = 5 is not the solution.

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