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To find:Use of elimination method in solving a system of linear equations.
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Explanation of Solution
Given information: Any system of linear equations in two variables to be solved using elimination method.
Concept used:In elimination method, both equations are either added or subtracted, so that to eliminated one variable terms from both equation. This is when the sum or difference of coefficients of one variable in both equations is zero.
By above additive property it is cleared that same term from both sides of an equation is eliminated.And while using elimination method to add two equations, these common terms from both equations are eliminated, because of this additive property of equality only.
Conclusion: If the sum or difference of one variable in both equations is not zero, then multiply each equation, its both sides by the coefficient of that variable in other equations and then add or subtract both equations, so that to then eliminate one variable from both terms.
Chapter 6 Solutions
High School Math 2011 Algebra 1 Student Companion Grade 8/9
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