10.1 Systems of Linear Equations in 2 Variables
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Last updated 5:16 PM on 8/4/22
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9 Terms
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System of equations
A set of equations that involve the same variables
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System of linear equations
A system of equations in which each equation is linear
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Solution
A(n) _______ of a system is an assignment of values for the variables that make each equation in the system true
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Solve
To _______ a system of equations means to find all solutions of the system
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Substitution method
To solve a system using the ____________, we start with one equation in the system and solve for one variable in terms of the other variable
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Elimination method
To solve a system using the __________, we try to combine the equation using sums or differences so as to eliminate one of the variables
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Graphical method
In the _________, we use a graphing device to solve the system
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Inconsistent
A system with no solution
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Dependent
A system with infinitely many solutions
