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Coordinate Algebra: Unit 2Name___Date___Period___Lesson 10: Solving Systems of InequalitiesGuided Nonstandard and Skills A.REI.12 Graph the solutions to a linear inequality in two variables as a half
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01
Start by writing down the equations in the system.
02
Choose a method to solve the system, such as substitution or elimination.
03
If using substitution, solve one equation for one variable and substitute it into the other equation.
04
If using elimination, multiply the equations by appropriate values to make the coefficients of one of the variables cancel out when added or subtracted.
05
Solve the resulting equation for the remaining variable.
06
Substitute the value of that variable back into one of the original equations to solve for the other variable.
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Check your solution by substituting the values back into both equations.
08
If the values of the variables satisfy both equations, then the system is solved correctly.

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A system of equations is a set of two or more equations with the same variables. The solutions to these equations are the values that satisfy all equations in the system simultaneously.
Entities such as businesses, organizations, and in some cases, individuals who meet specific criteria related to income or type of financial activity may be required to file systems of equations as part of their financial reporting.
To fill out a system of equations, one must write down each equation in a standard form, ensuring that all terms are correctly aligned and the variables are clearly indicated. Solve the equations using methods such as substitution, elimination, or matrix operations.
The purpose of systems of equations is to find common solutions that satisfy all equations in the system, which can be used in various applications such as economics, engineering, and physics to model real-world situations.
Typically, systems of equations need to report the values of the variables involved, the specific equations included in the system, and any relevant conditions or restrictions applied to those variables.
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