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NAME Car Comparison ProjectIntroductionSystems of linear equations are a useful way to solve common problems in different areas of life. One of the most powerful ways to use them is in a comparison
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To fill out systems of linear equations, follow these steps:
02
Write down the first equation in the system, using variables to represent the unknowns.
03
Write down the second equation in the system, using the same variables.
04
Align the equations vertically, making sure the variables are lined up.
05
Add or subtract the equations to eliminate one variable and solve for the other.
06
Solve the resulting equation for the remaining variable.
07
Substitute the value of the solved variable back into one of the original equations to find the value of the other variable.
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Check your solution by substituting the values into both equations and verifying that both sides are equal.
Who needs systems of linear equations?
01
Systems of linear equations are used in various fields and professions, such as:
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- Engineers, to model and solve problems involving multiple linear equations.
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- Economists, to analyze supply and demand with multiple variables.
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- Mathematicians, to study and analyze relationships between linear equations.
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- Physicists, to model and analyze physical systems with multiple variables.
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- Computer scientists, to solve problems involving linear equations in algorithms and data analysis.
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- Architects, to design and optimize structural frameworks using linear equations.
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- Statisticians, to analyze and predict trends using multiple linear equations.
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- Business professionals, to optimize resource allocation and decision-making processes.
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What is systems of linear equations?
Systems of linear equations are a set of equations with two or more variables that can be solved simultaneously to find a common solution.
Who is required to file systems of linear equations?
Individuals or organizations working with multiple variables and equations may be required to file systems of linear equations.
How to fill out systems of linear equations?
Systems of linear equations can be filled out by writing down the equations and solving them using algebraic methods such as substitution or elimination.
What is the purpose of systems of linear equations?
The purpose of systems of linear equations is to find the common solution that satisfies all the equations in the system.
What information must be reported on systems of linear equations?
Systems of linear equations must report the equations, variables, and the solution found for the system.
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