which graph best represents the solution to 1/2x - 2 = 3

Answer 1

To solve the equation \( \frac{1}{2}x - 2 = 3 \), we'll first isolate \( x \).

1. Add 2 to both sides: \[ \frac{1}{2}x = 3 + 2 \] \[ \frac{1}{2}x = 5 \]

2. Multiply both sides by 2 to solve for \( x \): \[ x = 5 \times 2 \] \[ x = 10 \]

The solution to the equation \( \frac{1}{2}x - 2 = 3 \) is \( x = 10 \).

This means that one possible graph that represents the solution would be a vertical line at \( x = 10 \). All points on this line will satisfy the equation, as they will represent the value of \( x \) when \( y \) is equal to \( \frac{1}{2}x - 2\).

So, look for a graph that features a vertical line through \( x = 10 \) to correctly represent the solution.