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

Add 1 to both sides of the equation \(2x - 1 = 5\):
\(2x - 1 + 1 = 5 + 1\)
\(2x = 6\)

Step2: Solve for x

Divide both sides of the equation \(2x = 6\) by 2:
\(\frac{2x}{2} = \frac{6}{2}\)
\(x = 3\)

(For graphing: We can rewrite the equation as \(y = 2x - 1\) and \(y = 5\). The graph of \(y = 2x - 1\) is a straight line with slope 2 and y - intercept - 1. The graph of \(y = 5\) is a horizontal line. The x - coordinate of the intersection point of these two graphs is the solution of the equation \(2x - 1 = 5\), which is \(x = 3\).)

Answer:

\(3\)