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System of Two Linear Equations in Two Variables

System of Two Linear Equations in Two Variables. Two equations of the form Ax + By = C and Dx + Ey = F where x and y are both variables. Solution of a system of linear equations. An ordered pair (x, y) that satisfies each equation of the system. Substitution Method.

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System of Two Linear Equations in Two Variables

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  1. System of Two Linear Equations in Two Variables • Two equations of the form Ax + By = C and Dx + Ey = F where x and y are both variables.

  2. Solution of a system of linear equations • An ordered pair (x, y) that satisfies each equation of the system.

  3. Substitution Method • The method for solving a system of equations where a scale factor is used.

  4. Linear Combination Method • The method for solving a system of equations where a variable is isolated

  5. Solution of a system of linear inequalities • An ordered pair that is a solution of each inequality in the system

  6. Ordered triple • A set of three numbers of the form (x, y, z) that represents a point in space.

  7. Linear equation in three variables • An equation of the form ax +by + cz where x, y, and z are variables.

  8. Function of two variables • a system made up of three linear equations in three variables

  9. System of three linear equations in three variables • A relation with exactly one output for each input.

  10. Solution of a system of three linear equations • An ordered triple (x, y, z) that is a solution of all three equations of the system.

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