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

Step2: Find intersection of the two lines

The solution is the $x$-value where $2x-1=5$. First, add 1 to both sides:
$2x-1+1=5+1$
$2x=6$

Step3: Solve for x

Divide both sides by 2:
$x=\frac{6}{2}=3$

To graph:

• For $y_1=2x-1$, plot points like $(0,-1)$ and $(1,1)$, then draw a line through them.
• For $y_2=5$, draw a horizontal line at $y=5$. The lines intersect at $(3,5)$.

Answer:

$x=3$