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Standards/Math/Massachusetts/A-REI.C

A-REI.C

A-REI Algebra - Reasoning with Equations and Inequalities
A-REI.A
A-REI.B
A-REI.C
A-REI.C.5A-REI.C.6A-REI.C.7A-REI.C.8A-REI.C.9
A-REI.D

Solve systems of equations.

A-REI.C.5Prove 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.A-REI.C.6Solve systems of linear equations exactly and approximately (e.g., with graphs), focusing on pairs of linear equations in two variables.A-REI.C.7Solve a simple system consisting of a linear equation and a quadratic equation in two variables algebraically and graphically. For example, find the points of intersection between the line y = –3x and the circle x^2 + y^2 = 3.A-REI.C.8(+) Represent a system of linear equations as a single matrix equation in a vector variable.A-REI.C.9(+) Find the inverse of a matrix if it exists and use it to solve systems of linear equations (using technology for matrices of dimension 3 x 3 or greater).
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