Mrs. Hudson has given you the task of investigating systems of equations and their graphs. You should solve each system of linear equations and then look for a commonality between each set of equations. Find a pattern that can be used to solve a system by inspection. Group 1 Observation: What do you notice about each solution? What do you notice about the graphs for each set of equations? What do you notice about each set of equations? What generalization can you make? Group 2 Observation: What do you notice about each solution? What do you notice about the graphs for each set of equations? What do you notice about each set of equations? What generalization can you make? Group 3 Observation: What do you notice about each solution? What do you notice about the graphs for each set of equations? What do you notice about each set of equations? What generalization can you make? Reflection Determine the number of solutions the following systems of equations have without solving them algebraically and explain your reasoning. a. 2x + 3y = 6 4x + 6y = 12 How many solutions does the system of linear equations have? Explain your reasoning. b. How many solutions does the system of linear equations have? Explain your reasoning.