Verify that the values of the variables listed are solutions of the system of equations. { 2

step 1 So let's check the solution to see if it's a solution to the whole system. Let's do this first e

Verify that the values of the variables listed are solutions...

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Key Concepts

Substitution Method

The substitution method is an algebraic technique used to solve a system of equations by expressing one variable in terms of another and then substituting this expression into the other equation(s). This method helps to reduce the number of variables and simplifies the system, making it easier to verify or find solutions.

System of Linear Equations

A system of linear equations is a set of two or more linear equations involving the same set of variables. The goal is to find the values of these variables that simultaneously satisfy all the equations in the system. Understanding these systems is key to solving many problems in algebra and has applications in various fields, including economics, engineering, and physics.

Solution Verification

Solution verification involves substituting the obtained or given values into each equation of the system to ensure that they satisfy every equation. This process confirms that the solution set is correct. It is an essential step in problems involving systems of equations to avoid errors and to validate that the proposed values work consistently across all equations.

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