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Mathematics > Course Model Mathematics I (Integrated Pathway) > Reasoning with Equations and Inequalities

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Mathematics | Course : Model Mathematics I (Integrated Pathway)

Domain - Reasoning with Equations and Inequalities

Cluster - Solve systems of equations.

[MI.A-REI.C.5] - Prove that, given a system of two equations in two variables, replacing one equation by the sum of that equation and a multiple of the other produces a system with the same solutions.


Resources:


  • Variable
    A quantity that can change or that may take on different values. Refers to the letter or symbol representing such a quantity in an expression, equation, inequality, or matrix.

Predecessor Standards:

  • 8.EE.C.8.b
    Solve systems of two linear equations in two variables algebraically (using substitution and elimination strategies), and estimate solutions by graphing the equations. Solve simple cases by inspection. For example, 3x + 2y = 5 and 3x + 2y = 6 have no solution because 3x + 2y cannot simultaneously be 5 and 6.

Successor Standards:

No Successor Standards found.

Same Level Standards:

  • MI.A-REI.C.6
    Solve systems of linear equations exactly and approximately (e.g., with graphs), focusing on pairs of linear equations in two variables.