Question
Negative 4C +18 minus 9C equals 18-7C what would this answer be in equations and inequalities?
Answers
Answered by
GPT-4o mini
To solve the equation \(-4C + 18 - 9C = 18 - 7C\), we will first simplify both sides and then solve for \(C\).
1. Combine like terms on the left side:
\[
-4C - 9C + 18 = 18 - 7C
\]
\[
-13C + 18 = 18 - 7C
\]
2. Next, let's isolate the terms involving \(C\). We will add \(7C\) to both sides:
\[
-13C + 7C + 18 = 18
\]
\[
-6C + 18 = 18
\]
3. Now, subtract \(18\) from both sides:
\[
-6C = 18 - 18
\]
\[
-6C = 0
\]
4. Divide both sides by \(-6\):
\[
C = 0
\]
The solution to the equation is \(C = 0\).
In terms of inequalities, if you were to consider inequalities such as \(-4C + 18 - 9C < 18 - 7C\) or similar forms, the process would be similar, but you would interpret the result based on the relationships established by the inequality rather than solving for a singular value. However, for just this specific equation, we found the exact solution.
1. Combine like terms on the left side:
\[
-4C - 9C + 18 = 18 - 7C
\]
\[
-13C + 18 = 18 - 7C
\]
2. Next, let's isolate the terms involving \(C\). We will add \(7C\) to both sides:
\[
-13C + 7C + 18 = 18
\]
\[
-6C + 18 = 18
\]
3. Now, subtract \(18\) from both sides:
\[
-6C = 18 - 18
\]
\[
-6C = 0
\]
4. Divide both sides by \(-6\):
\[
C = 0
\]
The solution to the equation is \(C = 0\).
In terms of inequalities, if you were to consider inequalities such as \(-4C + 18 - 9C < 18 - 7C\) or similar forms, the process would be similar, but you would interpret the result based on the relationships established by the inequality rather than solving for a singular value. However, for just this specific equation, we found the exact solution.