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

Step3: Graphing context

To solve via graph: Plot $y=2x-1$ (a line with slope 2, y-intercept -1) and $y=5$ (a horizontal line). Their intersection has an x-coordinate of 3, which matches the algebraic solution.

Answer:

$x=3$

To represent the graph:

• Plot the line $y=2x-1$: mark points like $(0, -1)$ and $(3, 5)$ then draw a line through them.
• Plot the horizontal line $y=5$.
• The two lines intersect at $(3, 5)$, so the x-value of the intersection is the solution.