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 \(x\).

$$2x - 1 + 1 = 5 + 1$$

$$2x = 6$$

Step2: Solve for \(x\)

Next, we divide both sides of the equation by 2 to solve for \(x\).

$$\frac{2x}{2} = \frac{6}{2}$$

$$x = 3$$

To graphically solve this, we can consider the function \(y = 2x - 1\) and find where \(y = 5\). When \(y = 5\), we have the equation \(2x - 1 = 5\) which we just solved, and the \(x\)-value at this point is 3. So the graph of \(y = 2x - 1\) will intersect the line \(y = 5\) at \(x = 3\).

Answer:

\(x = 3\)