Which graph best represents the solution to 1/2x−2=3

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Answer 1

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 \( x = 10 \).

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