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3 Solving by SubstitutionMFM2P Linear Systems of EquationsDate: ___Solving Systems of Equations by Substitution Disadvantages of Solving by Graphing: 1. Slow, takes time 2. Can be inaccurate Advantages
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01
To solve systems of linear equations, follow these steps:
02
Write down the equations in the system.
03
Choose a method to solve the system: either substitution, elimination, or matrix methods.
04
If using substitution, solve one equation for one variable and substitute it into the other equation.
05
If using elimination, add or subtract the equations to eliminate one variable.
06
If using matrix methods, represent the equations in matrix form and perform row operations to find the solution.
07
Solve for the remaining variables by continuing to use the chosen method.
08
Check the solution by substituting it back into the original equations.
09
Write the solution as an ordered pair or a set of values for the variables.

Who needs solving systems of linear?

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Solving systems of linear equations is important for various fields and professions, including:
02
- Mathematicians and scientists who need to analyze and model real-world situations.
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- Researchers in various academic disciplines who need to solve systems of equations to study patterns and relationships in data.
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- Students studying advanced mathematics, physics, or engineering courses.
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Solving systems of linear involves finding the values of variables that satisfy multiple linear equations simultaneously.
Individuals or entities that need to report mathematical or statistical data involving linear equations may be required to file documentation related to solving systems of linear.
To fill out solving systems of linear, one must list the equations, identify the variables, and use methods such as substitution or elimination to find the solution set.
The purpose of solving systems of linear is to identify the intersection points of multiple linear equations, which represents the solution(s) satisfying all equations.
Information that must be reported includes the equations being solved, the method used for finding solutions, and the final solution set.
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