Lesson3SolvingSystemsUsingElimination.notebook
1
December11,2017
6.3 Solving Systems using
Elimination
objective: to solve systems by adding or subtracting to
eliminate a variable
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Solving Systems Using Elimination: A Mathematical Approach, Study notes of Linear Algebra
An overview of the elimination method for solving systems of linear equations. It includes step-by-step instructions for eliminating a variable and finding the solution to the system. Two examples are given for practice.
What you will learn
- How does the elimination method work for solving systems of linear equations?
- What are the steps to eliminate a variable using the elimination method?
- Find the solution to the system 2x + 5y = 17 and 6x - 5y = -9.
Typology: Study notes
2021/2022
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6.3 Solving Systems using Elimination objective: to solve systems by adding or subtracting to eliminate a variable
elimination method: uses the properties of adding and subtracting equations to eliminate a variable in the system Elimination involves algebraic manipulations of two or more equations. The end goal is to eliminate a variable by creating opposite coefficients.
Steps to Elimination
- Multiply one or both equations so that one of the variables has the same coefficients with opposite signs.
- Add the equations vertically so that one variable is eliminated.
- Solve for the leftover variable.
- Substitute the variable back into one of the original equations and solve for the opposite variable.
What is the solution to the systems?
- 3x3y=
- 3x4y=
- 5x6y=
- 3x+6y=
- 3x4y=