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: Isolate the variable term

To solve the equation \(2x - 1 = 5\), first, we add 1 to both sides of the equation to isolate the term with \(x\).
\[2x - 1 + 1 = 5 + 1\]
Simplifying both sides, we get:
\[2x = 6\]

Step2: Solve for \(x\)

Now, we divide both sides of the equation \(2x = 6\) by 2 to solve for \(x\).
\[\frac{2x}{2}=\frac{6}{2}\]
Simplifying, we find:
\[x = 3\]

(For the graphing part, we can consider the function \(y = 2x - 1\) and find where \(y = 5\). When \(y = 5\), we solve \(2x - 1 = 5\) as above, and the \(x\)-value where \(y = 5\) on the graph of \(y = 2x - 1\) is \(x = 3\).)

Answer:

\(x = 3\)