Final answer:
To solve the equation 8x − 11 = 13, add 11 to both sides to get 8x = 24, then divide by 8 to find x = 3. Graphical solutions are less precise compared to analytical techniques, which provide exact answers.
Step-by-step explanation:
To solve the equation 8x − 11 = 13, we first isolate the variable x by adding 11 to both sides of the equation, resulting in 8x = 24. Dividing both sides by 8 gives us x = 3, which is the solution to the equation.
When graphing this solution, we get a vertical line on the coordinate plane crossing the x-axis at the point (3, 0).
While we can solve equations graphically, the analytical technique is typically more accurate than the graphical method because graphical solutions depend on the scale and precision of the graph, and interpreting the exact values from the graph can introduce error.
Analytical solutions provide exact numbers. However, for instructional purposes or to obtain a visual representation of the solution, a graphical method could still be beneficial. It is important to remember that when using graphical methods, we assume data taken from graphs is accurate to three digits.