Explanation:
The two equations are and
To determine why the two equations are equivalent, let us solve the equation.
Consider solving the equation , we get,
Adding 13 on both sides, we get,
Consider solving the equation , we get,
Adding 37 on both sides, we get,
Thus, when solving both the equations, the value of H is equal.
Since, the value of H is equal, the equations and are equivalent equations.
The meaning of the solution:
A value of a variable which makes the equation true is called a solution.
Here the value of the variable H is 197. Let us substitute the value in the equations and to determine whether it makes the equation true.
Let us substitute in , we get,
Hence, is true solution.
Also, let us substitute in , we get,
Hence, is true solution.