To find:The method, used while adding two equations in two variables, so that sum is an equation in one variable.
Answer to Problem 4LC
Elimination method is used to solve the system as it eliminates one variable terms from both the equations, while adding them.
Explanation of Solution
Given information: Any two linear equations in two variables that are to be added together.
Concept used:Elimination method is used when both equations have one variable terms with same coefficients and having opposite signs.Elimination is used if the sum of coefficients of one variable, in both equations is zero, so that while adding both equations, that variable terms are eliminated and it remains an equation in another variable only.
Conclusion: Thus, elimination method is used so that sum of two linear equations in two variables is an equation in one variable only.
Chapter 6 Solutions
High School Math 2015 Common Core Algebra 1 Student Edition Grade 8/9
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