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: Rewrite as two functions

We can split the equation into $y=2x-1$ and $y=5$.

Step2: Graph the first function

For $y=2x-1$, find two points:
When $x=0$, $y=2(0)-1=-1$, so point $(0,-1)$.
When $x=1$, $y=2(1)-1=1$, so point $(1,1)$. Plot and draw the line.

Step3: Graph the second function

$y=5$ is a horizontal line passing through $(0,5)$.

Step4: Find intersection point

The lines $y=2x-1$ and $y=5$ intersect when $2x-1=5$. Solve for $x$:
Add 1 to both sides: $2x=5+1=6$
Divide by 2: $x=\frac{6}{2}=3$
The intersection point is $(3,5)$, so the solution is $x=3$.

Answer:

$x=3$