Math 251 Name: Homework: Solving Systems of Equations It is suggested that you solve these problems on your own paper, using one piece of paper per problem. Write neatly and clearly. If your work is scattered and/or difficult to follow, you may lose points, because when solving systems of equations this way, notation and organization are important. If your answer is ”infinitely many solutions,” be sure to explicitly describe the solution set. 1. Use Gaussian elimination to solve the following system of equations. Show all work. 2x − 4y + 6z = −2 −3x + y + 2z = 16 5x + 2y − z = −5 2. Use Gaussian elimination to solve the following system of equations. Show all work. x + y − 2z = −1 2x + 8y + 4z = 22 −3x − 12y − 6z = 5 3. Use Gaussian elimination to solve the following system of equations. Show all work. x + 2z = 0 −y + 3z = 0 2x + 3y − 5z = 0 1
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