Respuesta :
Explanation:
The two equations are [tex]H-13=184[/tex] and [tex]H-34=163[/tex]
To determine why the two equations are equivalent, let us solve the equation.
Consider solving the equation [tex]H-13=184[/tex], we get,
Adding 13 on both sides, we get,
[tex]H=197[/tex]
Consider solving the equation [tex]H-34=163[/tex], we get,
Adding 37 on both sides, we get,
[tex]H=197[/tex]
Thus, when solving both the equations, the value of H is equal.
Since, the value of H is equal, the equations [tex]H-13=184[/tex] and [tex]H-34=163[/tex] 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 [tex]H-13=184[/tex] and [tex]H-34=163[/tex] to determine whether it makes the equation true.
Let us substitute [tex]H=197[/tex] in [tex]H-13=184[/tex], we get,
[tex]197-13=187[/tex]
[tex]187=187[/tex]
Hence, [tex]H=197[/tex] is true solution.
Also, let us substitute [tex]H=197[/tex] in [tex]H-34=163[/tex], we get,
[tex]197-34=163[/tex]
[tex]187=187[/tex]
Hence, [tex]H=197[/tex] is true solution.
