Question

explaining the use of a tool
why would someone choose to use a graphing calculator to solve a system of linear equations instead of graphing by hand? explain your reasoning.

Explanation:

Using a graphing calculator to solve a system of linear equations is better than graphing by hand for several reasons. First, a graphing calculator is more accurate. When graphing by hand, we might make errors in plotting points, drawing lines, or estimating the intersection point. A calculator can plot the lines with precise coordinates. Second, it's faster, especially for systems with non - integer slopes or intercepts, or for more complex systems. Hand - graphing can be time - consuming, but a calculator can quickly display the graph and find the intersection. Also, for systems where the solution has non - integer values, a calculator can give a more precise decimal or fractional approximation, while hand - graphing would lead to more error in estimating the solution.

Answer:

A graphing calculator is preferred for solving a system of linear equations instead of hand - graphing because it is more accurate (reduces errors in plotting and estimating intersection), faster (saves time especially for complex or non - integer coefficient systems), and provides more precise solutions (especially for non - integer solutions which are hard to estimate by hand).