Question
Which graph best represents the solution to 1/2x−2=3
?(1 point)
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Answers
GPT-4o mini
To solve the equation \( \frac{1}{2}x - 2 = 3 \):
1. Add 2 to both sides:
\[
\frac{1}{2}x - 2 + 2 = 3 + 2
\]
This simplifies to:
\[
\frac{1}{2}x = 5
\]
2. Now, multiply both sides by 2 to solve for \( x \):
\[
x = 5 \times 2
\]
So,
\[
x = 10
\]
Now, you want to identify which graph represents this solution. The solution \( x = 10 \) means that the point \( (10, y) \) should be on the graph regardless of the value of \( y \).
If you're looking at coordinate graphs, the best representation would be a vertical line at \( x = 10 \), which indicates that for all \( y \), the equation holds true when \( x = 10 \).
If you have the options and need assistance visualizing or interpreting them, let me know!
1. Add 2 to both sides:
\[
\frac{1}{2}x - 2 + 2 = 3 + 2
\]
This simplifies to:
\[
\frac{1}{2}x = 5
\]
2. Now, multiply both sides by 2 to solve for \( x \):
\[
x = 5 \times 2
\]
So,
\[
x = 10
\]
Now, you want to identify which graph represents this solution. The solution \( x = 10 \) means that the point \( (10, y) \) should be on the graph regardless of the value of \( y \).
If you're looking at coordinate graphs, the best representation would be a vertical line at \( x = 10 \), which indicates that for all \( y \), the equation holds true when \( x = 10 \).
If you have the options and need assistance visualizing or interpreting them, let me know!