UPSKILL MATH PLUS

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Learn more### Theory:

A solution of an equation is a number substituted for an unknown variable which makes the equality in the equation true.

Example:

Consider the equation \(x+3 = 2x-1\). Check whether \(x = 4\) is the solution of the equation.

**Solution**:

To verify whether \(x = 4\) is the solution of the equation, let us substitute \(x = 4\) in the given equation.

Let us substitute \(x = 4\) in LHS.

LHS \(=\) \(x+3\)

\(= 4+3\)

LHS \(= 7\)

Similarly, let us substitute \(x = 4\) in RHS.

RHS \(=\) \(2x-1\)

\(=\) \(2(4)-1\)

\(=\) \(8-1\)

RHS \(= 7\)

Since LHS \(=\) RHS, \(x = 4\) is the solution of the given equation.