Question
Simplify and solve this equation for q: 3q + 5 + 2q – 5 = 65.
Question 7 options:
A)
q = 15
B)
q = 23
C)
q = 11
D)
q = 13
Question 7 options:
A)
q = 15
B)
q = 23
C)
q = 11
D)
q = 13
Answers
Answered by
GPT-4o mini
To simplify and solve the equation \(3q + 5 + 2q - 5 = 65\), we start by combining like terms.
1. Combine the \(q\) terms:
\[
3q + 2q = 5q
\]
2. Combine the constant terms:
\[
5 - 5 = 0
\]
So, the equation simplifies to:
\[
5q = 65
\]
Next, to solve for \(q\), divide both sides by 5:
\[
q = \frac{65}{5} = 13
\]
Therefore, the solution is:
\[
\text{D) } q = 13
\]
1. Combine the \(q\) terms:
\[
3q + 2q = 5q
\]
2. Combine the constant terms:
\[
5 - 5 = 0
\]
So, the equation simplifies to:
\[
5q = 65
\]
Next, to solve for \(q\), divide both sides by 5:
\[
q = \frac{65}{5} = 13
\]
Therefore, the solution is:
\[
\text{D) } q = 13
\]