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 \(2x - 1 = 5\), first add 1 to both sides of the equation. This is done to get rid of the constant term on the left side.
\(2x - 1 + 1 = 5 + 1\)
Simplifying both sides, we have \(2x = 6\).

Step2: Solve for x

Now, divide both sides of the equation \(2x = 6\) by 2 to isolate \(x\).
\(\frac{2x}{2}=\frac{6}{2}\)
Simplifying, we get \(x = 3\).

(For graphing: We can rewrite the equation as \(y = 2x - 1\) and \(y = 5\). The first is a linear function with slope 2 and y - intercept - 1. The second is a horizontal line. The x - coordinate of the intersection point of these two graphs will be the solution. When \(y = 5\), from \(y=2x - 1\), we substitute \(y = 5\) and solve as above to get \(x = 3\), which is the x - value where the two graphs intersect.)

Answer:

\(x = 3\)