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Name Period Date CALCULATOR SECTIONVocabulary: Define each word and give an example.1. Solution of a System of Linear Inequalities2. Coincident Lines Short Answer:3. Explain how to tell if a linear
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How to fill out solution of a system

01
Start by writing down the given equations of the system.
02
Choose a method for solving the system, such as substitution, elimination, or graphing.
03
If using substitution, solve one equation for one variable and substitute it into the other equation.
04
If using elimination, multiply one or both equations by appropriate constants to eliminate a variable when the equations are added or subtracted.
05
Solve the resulting equation to find the value of one variable.
06
Substitute this value back into one of the original equations to find the value of the other variable.
07
Check the solution by substituting the values of the variables into both original equations and ensuring they satisfy both equations.
08
Write the solution as an ordered pair or a set of values for the variables.

Who needs solution of a system?

01
Solution of a system is needed by anyone who needs to find the values of variables that satisfy a set of equations simultaneously.
02
It is commonly used in mathematics, physics, engineering, and economics, among other fields.
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For example, engineers may need to solve systems of equations to analyze and design electrical circuits or structural systems.
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Mathematicians may use solution of a system to solve mathematical problems or investigate geometric relationships.
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In economics, systems of equations are commonly used to model and solve problems related to supply and demand, production, and optimization.
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Students studying mathematics or related subjects may also need to learn how to solve systems of equations as part of their coursework.

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