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 $y=2x-1$

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

Step3: Plot $y=5$

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

Step4: Find intersection

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

Step5: Solve for x

Divide by 2: $x=\frac{6}{2}=3$.
The intersection point is $(3,5)$, so the x-value is the solution.

Answer:

The solution to the equation is $x=3$.
(For the graph: plot the line $y=2x-1$ passing through $(0,-1)$ and $(1,1)$, plot the horizontal line $y=5$, their intersection at $(3,5)$ confirms the solution.)