Question

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

Explanation:

Step1: Define two functions

Let $y_1 = 2x - 1$ and $y_2 = 5$

Step2: Plot $y_1=2x-1$

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

Step3: Plot $y_2=5$

Draw a horizontal line through $y=5$ on the y-axis.

Step4: Find intersection point

Set $2x-1=5$, solve for $x$:
$2x = 5 + 1$
$2x = 6$
$x = \frac{6}{2} = 3$
The intersection point is $(3,5)$.

Answer:

The solution to the equation $2x-1=5$ is $x=3$.
(The graph consists of the line $y=2x-1$ passing through $(0,-1)$ and $(1,1)$, and the horizontal line $y=5$, intersecting at $(3,5)$.)