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Question
here is an equation.
2x - 1 = 5
draw a graph to help solve the equation. then find the solution to the equation.
solution: x = \square
Step1: Rearrange to isolate $2x$
Add 1 to both sides.
$2x - 1 + 1 = 5 + 1$
$2x = 6$
Step2: Solve for $x$
Divide both sides by 2.
$x = \frac{6}{2}$
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$x = 3$
To solve via graphing:
- Graph $y=2x-1$ (a line with slope 2, y-intercept -1)
- Graph $y=5$ (a horizontal line at $y=5$)
- The x-coordinate of their intersection point is 3, which is the solution.