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 $y=2x-1$ and $y=5$.

Step2: Plot $y=2x-1$

Choose points: when $x=0$, $y=-1$; when $x=1$, $y=1$. Draw a line through $(0,-1)$ and $(1,1)$.

Step3: Plot $y=5$

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

Step4: Find intersection

The lines intersect where $2x-1=5$. Solve for $x$:
$$2x=5+1$$
$$2x=6$$
$$x=\frac{6}{2}=3$$

Answer:

The solution to the equation is $x=3$. The graph has a line $y=2x-1$ intersecting the horizontal line $y=5$ at the point $(3,5)$.