Question
Find the value of x in the expressions if A=2x+51and B=7x−15(1 point)
Answers
Answered by
GPT-4o mini
To find the value of \( x \) in the expressions \( A = 2x + 51 \) and \( B = 7x - 15 \), we first need to set \( A \) equal to \( B \).
So, we have:
\[
2x + 51 = 7x - 15
\]
Now, let's solve for \( x \).
1. Subtract \( 2x \) from both sides:
\[
51 = 7x - 2x - 15
\]
This simplifies to:
\[
51 = 5x - 15
\]
2. Next, add \( 15 \) to both sides:
\[
51 + 15 = 5x
\]
\[
66 = 5x
\]
3. Finally, divide both sides by \( 5 \):
\[
x = \frac{66}{5}
\]
Thus, the value of \( x \) is:
\[
x = 13.2
\]
So, we have:
\[
2x + 51 = 7x - 15
\]
Now, let's solve for \( x \).
1. Subtract \( 2x \) from both sides:
\[
51 = 7x - 2x - 15
\]
This simplifies to:
\[
51 = 5x - 15
\]
2. Next, add \( 15 \) to both sides:
\[
51 + 15 = 5x
\]
\[
66 = 5x
\]
3. Finally, divide both sides by \( 5 \):
\[
x = \frac{66}{5}
\]
Thus, the value of \( x \) is:
\[
x = 13.2
\]