Chapter 8.10, Problem 28HP

To determine

The use of the substitution method instead of graphing method is to be explained.

Answer to Problem 28HP

When the solution contain the fractions or the decimal points then use of the substitution method instead of graphing method is better.

Explanation of Solution

Calculation:

If you want to solve the systems of equations then you should use the substitution method without graphing method.

But when this substitution method is used is the big question, so if your system of the solutions contain the decimal or fractional numbers then it is not easy to identify the points from graph.

So, in case of the decimal or fraction solution system, the alternative algebraic method is to be used by the user.

Conclusion:

Hence, the substitution method is used when the system of the solutions has decimals or fractions.