Addition method
Definition
The addition method, also known as the elimination method, is a technique used to solve systems of linear equations. It involves adding or subtracting the equations to eliminate one variable, simplifying the system to a single equation with one variable.
5 Must Know Facts For Your Next Test
- The goal of the addition method is to eliminate one variable by combining the equations.
- Equations may need to be multiplied by constants to align coefficients before adding or subtracting.
- After eliminating a variable using addition or subtraction, solve for the remaining variable.
- The solution obtained from solving for one variable should be substituted back into one of the original equations to find the other variable.
- The resulting pair $(x, y)$ represents the point of intersection of the two lines represented by the original equations.
Review Questions
- What is the primary objective when using the addition method?
- When might you need to multiply an equation by a constant during this process?
- How do you find the second variable after eliminating one using addition?
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Related terms
Substitution Method: A technique for solving systems of equations where one equation is solved for one variable and then substituted into another equation.
System of Linear Equations: A set of two or more linear equations with multiple variables that are considered simultaneously.
Consistent System: A system of equations that has at least one solution.
