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Q.

Any value of the variable which makes both sides of an equation equal is known as a ____ of the equation.

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Detailed Solution

Any value of the variable which makes both sides of an equation equal is known as a solution of the equation.
For certain values of the variables, the values of the expression on the LHS and RHS are equal, and these values are the "solutions" of the equation.
For example:
Transposing 4 to the RHS of the equation:

⇒ 2 x = − 4

⇒ x = − 42

⇒ x = − 2

Hence,

x = − 2

satisfies the equation and it is the solution of the above linear equation. Thus, any value of the variable which makes both sides of the equation equal is known as a solution of the equation.
Therefore, “solution” is the correct answer.

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Any value of the variable which makes both sides of an equation equal is known as a ____ of the equation.