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here is an equation. 2x - 1 = 5 draw a graph to help solve the equation…

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

Explanation:

Step1: Rearrange to isolate $x$

Add 1 to both sides:
$2x - 1 + 1 = 5 + 1$
$2x = 6$

Step2: Solve for $x$

Divide both sides by 2:
$\frac{2x}{2} = \frac{6}{2}$
$x = 3$

To solve via graph:

  1. Graph $y = 2x - 1$ (a line with slope 2, y-intercept -1)
  2. Graph $y = 5$ (a horizontal line at $y=5$)
  3. The x-coordinate of their intersection is the solution, which is $x=3$.

Answer:

$x=3$