Let H represent the height of the Colossus roller coaster. Explain why H - 13= 184 and h-34=163 are equivalent equations. Then explain the meaning of the solution.

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.

step-by-step explanation: