Use elimination to solve each system of equations. Check your solution. { 3 x-y=9 x+y=

step 1 We have to solve the given system of equation by using elimination method and we have to check t

Use elimination to solve each system of equations. Check...

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Key Concepts

System of Linear Equations

A set of two or more linear equations involving the same set of variables is called a system of linear equations. Solving such a system means finding values for the variables that satisfy all the equations simultaneously. These systems are fundamental in algebra and can represent various real-world relationships and constraints.

Elimination Method

The elimination method involves combining equations in a system in order to eliminate one of the variables, making it possible to solve for the remaining variable(s). This is done by adding or subtracting the equations after manipulating them (if necessary) to achieve coefficients that cancel out one of the variables, and then back-substituting to determine the other variable(s).

Verification of Solutions

After finding a solution to a system of equations, it is important to check that the solution satisfies each original equation. This substitution process confirms the accuracy of the elimination process and ensures that no arithmetic mistakes have been made, providing confidence in the final answer.

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