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Use the worksheet to record your answers to the Solving Linear Equations portfolio activity. When you are finished, save your worksheet with your answers and submit it for a portfolio grade.  Investigate and explain the different types of solutions to a system of equations.Question 1 Examine the six different equations that follow. Determine which pairs of equations have one solution, no solution, and infinite solutions. On your worksheet, put a circle around the two equations that have infinite solutions. put a square around the two equations that have no solution. underline the two equations that have one solution.  2x+37x+34x+225x+53x+183(4x+8)======2x+77x+38x+105x+45 x+84(3x+6) 2x+3 = 2x+7 7x+3 = 7x+3 4x+22 = 8x+10 5x+5 = 5x+4 3x+18 = 5x+8 3(4x+8) = 4(3x+6)  What do you notice about equations that are in each of these categories? Use complete sentences to answer the questions that follow. Question 2: Infinite Solutions Consider the two equations you circled, which form a system with infinite solutions? Solve the equations. What do you notice about these equations? What does it mean to have infinite solutions? Plug more than one point into the original equations and check to show that the equations can have more than one solution. Explain your work. Question 3: No Solutions Consider the two equations you put a square around, which form a system with no solution. Solve the equations. What do you notice about these equations? What does it mean to have no solution? Plug a few points into the original equations and check to show that they can have no solution. Explain your work. Question 4: One Solution Consider the two equations that you underlined, which form a system with one solution. Solve the equations. What do you notice about these equations? What does it mean to have one solution? Plug a few points into the original equations and check to show that the system of equations has one solution. Explain your work. Question 5: Writing Linear Equations Now try writing and solving your own systems of linear equations: one with infinite solutions, one with no solution, and one with one solution. Write a real-world scenario that goes with at least one system of equations. Show your work. Solving Linear Equations Portfolio WorksheetUse the rubric to check your work on the portfolio. Solving Linear Equations Portfolio RubricView Learning Coach Guide