Analyze and solve systems of two linear equations in two variables. a. Interpret the solution to a system of two linear equations as the point where their graphs intersect and verify that the coordinates of the intersection satisfy both equations. b. Solve systems of two linear equations by graphing and substitution. When using graphing, find an approximate or exact solution depending on the precision of the graph. Select a method strategically based on the structure of the system or the context of the problem and explain why the method is appropriate. c. Use structure to determine when a system has no solution, one solution, or infinitely many solutions and justify the conclusion. d. Model and solve contextual problems using systems of two linear equations.
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