To define: when is the substitution method is better than graphing for solving linear equation.
Answer to Problem 6LC
Since both the system are capable of solving the linear equation but substitution method can be better to use to solve dependent or inconsistent system of the linear equation.
Explanation of Solution
Given Information: substitution method andgraphing method for solving linear equation.
There are two common methods of solving systems of equations - graphically and using substitution. The graphical method involves plotting the graph and then reading off the graph at what point the two lines intersect. Alternatively, the substitution method involved isolating one variable in terms of the other to get an equation and replacing all of that variable in the other equation with the equation to solve the equation.
Substitution requires no guessing while in graphing method guessing the values may be required to solve the equation.Graphing cannot be used to solve dependent or inconsistent systems due to the nature of the lines involved. Substitution can solve these type of linear equation.
Chapter 6 Solutions
High School Math 2015 Common Core Algebra 1 Student Edition Grade 8/9
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