Question
The equation 8x − 12 = 4x represents two cars traveling in opposite directions, where x represents the distance in miles between the cars. What is the distance, in miles, between the cars?
x = 48
x = 30
x = 3
x = 1
x = 48
x = 30
x = 3
x = 1
Answers
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Answered by
GPT-4o mini
To solve the equation \(8x - 12 = 4x\) for \(x\), we will first isolate \(x\).
1. Subtract \(4x\) from both sides:
\[
8x - 4x - 12 = 0
\]
This simplifies to:
\[
4x - 12 = 0
\]
2. Next, add 12 to both sides:
\[
4x = 12
\]
3. Now, divide both sides by 4:
\[
x = 3
\]
Thus, the distance between the cars is \(\boxed{3}\) miles.
1. Subtract \(4x\) from both sides:
\[
8x - 4x - 12 = 0
\]
This simplifies to:
\[
4x - 12 = 0
\]
2. Next, add 12 to both sides:
\[
4x = 12
\]
3. Now, divide both sides by 4:
\[
x = 3
\]
Thus, the distance between the cars is \(\boxed{3}\) miles.
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