Question
You are solving an equation with a variable on each side. Does the side on which you choose to isolate the variable affect the solution . Why might you choose one side over the other ?
Hint:
An equation with variables on both sides of the "equal to" sign i.e. on LHS and RHS can be solved by first simplifying both the sides (Opening up the brackets, addition, subtraction, i.e. if any) and then all the variables are taken on 1 side of the equation and all the constants i.e. numbers on the other side. Both sides are then simplified further and the solution is obtained
The correct answer is: Side on which we choose to isolate the variable does not affect the solution. We might choose LHS over RHS for better understanding and simpler calculation.
Step-by-step solution:-
While solving an equation with variable on both sides, we isolate variable on one side and constants on the other to simplify the equation and find the value of that variable.
However, while simplifying such equations, we may choose to isolate the variable on either of the sides of the equation, i.e. LHS or RHS. Final answer obtained by solving for the variable on either LHS or RHS will remain the same.
The number of steps required to solve the equation however, may differ depending on which side the variable is isolated.
In general, we isolate the variable on the LHS as the main purpose of solving the equation is to find the value of such variable.
Final Answer:-
∴ Side on which we choose to isolate the variable does not affect the solution. We might choose LHS over RHS for better understanding and simpler calculation.
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