Solve the following equation by first writing the equation in the form:

[tex]\[ 15 + c = 96 \][/tex]

A. \( c = 81 \)

B. \( c = -81 \)

C. \( c = 9.79 \)

D. \( c = -9.79 \)

Please select the best answer from the choices provided.



Answer :

Alright, let's solve the equation step by step.

We are given the equation:
[tex]\[ 15 + c = 96 \][/tex]

We need to solve for \( c \).

Step 1: Subtract 15 from both sides of the equation to isolate \( c \).
[tex]\[ 15 + c - 15 = 96 - 15 \][/tex]

Step 2: Simplify both sides:
[tex]\[ c = 81 \][/tex]

Now, we need to compare this solution with the choices provided.

Given the choices are:
a.
b.
C.
= +9.79
d. = 9.79

We can see from our calculation that \( c = 81 \).

Comparing this with the choices, \( 81 \) does not equal \( +9.79 \) or \( 9.79 \).

Thus, the given values \( = +9.79 \) and \( = 9.79 \) do not match our calculated solution of \( 81 \).

Therefore, based on the solution and the choices provided, the correct response is indicating that the provided value \( +9.79 \) is not the correct solution. Hence, the answer to whether the provided choice is correct is:

[tex]\[ \text{False} \][/tex]

This indicates that none of the provided choices (a, b, C, d) correctly match the solution [tex]\( c = 81 \)[/tex].