UPSKILL MATH PLUS

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### 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.