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 =

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 consider the left - hand side as \(y = 2x - 1\) and the right - hand side as \(y = 5\). The graph of \(y = 2x - 1\) is a straight line. To find two points on \(y = 2x - 1\): when \(x = 0\), \(y=-1\); when \(x = 3\), \(y = 2\times3 - 1=5\). The graph of \(y = 5\) is a horizontal line. The x - coordinate of the intersection point of \(y = 2x - 1\) and \(y = 5\) is the solution of the equation, which is \(x = 3\).)

Answer:

\(x = 3\)