Question

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

Explanation:

Step1: Rewrite as two functions

We split the equation into $y_1=2x-1$ and $y_2=5$.

Step2: Graph $y_1=2x-1$

Find two points: when $x=0$, $y_1=-1$; when $x=1$, $y_1=1$. Plot $(0,-1)$ and $(1,1)$, draw the line.

Step3: Graph $y_2=5$

This is a horizontal line through $(0,5)$.

Step4: Find intersection

Set $2x-1=5$. Add 1 to both sides:
$2x-1+1=5+1$
$2x=6$
Divide by 2:
$\frac{2x}{2}=\frac{6}{2}$
$x=3$
The intersection is $(3,5)$.

Answer:

The solution to the equation is $x=3$.
(Graph details: Line $y=2x-1$ passes through $(0,-1)$ and $(1,1)$; horizontal line $y=5$ intersects it at $(3,5)$)