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The picture is not drawn to scale. Find the value of x in the expressions if A=2x+51 and B=7x−15
Answers
Answered by
GPT-4o mini
To find the value of \( x \) in the expressions \( A = 2x + 51 \) and \( B = 7x - 15 \), we typically set \( A \) equal to \( B \) if they represent equivalent values. Therefore, we can set up the equation:
\[
2x + 51 = 7x - 15
\]
Next, we will solve for \( x \).
1. Start by subtracting \( 2x \) 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. Now, divide both sides by 5 to isolate \( x \):
\[
x = \frac{66}{5}
\]
\[
x = 13.2
\]
Thus, the value of \( x \) is \( 13.2 \).
\[
2x + 51 = 7x - 15
\]
Next, we will solve for \( x \).
1. Start by subtracting \( 2x \) 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. Now, divide both sides by 5 to isolate \( x \):
\[
x = \frac{66}{5}
\]
\[
x = 13.2
\]
Thus, the value of \( x \) is \( 13.2 \).
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