Chapter 4, Problem 16PT

To determine

To solve and check: the given equation

Answer to Problem 16PT

The required solution is $m=-7.9$

Explanation of Solution

Given:

  $m+3.75=-4.15$

Calculation:

The objective is to solve the equation and to check the solution.

Consider the equation.

  $m+3.75=-4.15$

Solve the equation.

  $m+3.75=-4.15$

  $m+3.75-3.75=-4.15-3.75$ [Subtraction property of equality]

  $m=-7.9$

Therefore solution of the given equation is $m=-7.9$

CHECK:

  $m+3.75=-4.15$

  $-7.9+3.75=-4.15$

[set $m=-7.9$ ]

  $-4.15=-4.15$

[True]

This confirms that $m=-7.9$ is the solution of the given equation.

Conclusion:

Therefore solution of the given equation is $m=-7.9$