Solve systems of equations.
Reasoning with Equations and Inequalities
Solve systems of equations.
Reasoning with Equations and Inequalities
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Solve a simple system consisting of a linear equation and a quadratic equation in two variables algebraically and graphically.
Represent a system of linear equations as a single matrix equation in a vector variable.
Estimate solutions graphically and determine algebraic solutions to linear systems, focusing on pairs of linear equations in two variables.
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.
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 × 3 or greater).