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Section 10.3 and Section 9.3 Systems of Equations and Inverses of Matrices NO CALCULATOR 2x 7y 4 Given the system of equations 3x 4y 6 A) Set up a matrix equation to solve the system. 2 7 x 4 3 4 y 6 B) Solve the matrix equation, writing your final answer as an ordered pair (x, y). Show the work that leads to your answer. 1 x 2 7 4 y 3 4 6 x 1 58 y 29 0 x 1 4 7 4 y 29 3 2 6 2, 0 NO CALCULATOR 3x 2y 1 Given the system of equations 4x 3y 5 A) Set up a matrix equation to solve the system. 3 2 x 1 4 3 y 5 B) Solve the matrix equation, writing your final answer as an ordered pair (x, y). Show the work that leads to your answer. 1 x 3 2 1 y 4 3 5 x 1 13 y 17 11 x 1 3 2 1 y 17 4 3 5 13 11 17 , 17 NO CALCULATOR 5x 4y 1 Given the system of equations 3x 2y 2 A) Set up a matrix equation to solve the system. 5 4 x 1 3 2 y 2 B) Solve the matrix equation, writing your final answer as an ordered pair (x, y). Show the work that leads to your answer. 1 x 5 4 1 y 3 2 2 x 1 2 4 1 y 22 3 5 2 x 1 10 y 22 7 5 7 11, 22 NO CALCULATOR 5x 4y 1 Given the system of equations 3x 2y 2 A) Set up a matrix equation to solve the system. 5 4 x 1 3 2 y 2 B) Solve the matrix equation, writing your final answer as an ordered pair (x, y). Show the work that leads to your answer. 1 x 5 4 1 y 3 2 2 x 1 2 4 1 y 22 3 5 2 x 1 10 y 22 7 5 7 11, 22 CALCULATOR REQUIRED Enter the following matrices into your calculator: 3 1 A 2 7 3 7 1 E 7 0 3 8 1 4 9 7 C 11 16 1 4 2 F 3 5 1 0 0 2 2 1 D 4 2 11 2 3 G 4 3 2 1 2 4 CALCULATOR REQUIRED 3x y 7 Using a calculator, solve the system: 2x 7y 4 3 1 is already entered into your calculator A 2 7 7 B needs to be entered into your calculator [B] 4 Compute det A Compute 19 A 1B 45 2 19 , 19 CALCULATOR REQUIRED 7x 9y 2 Using a calculator, solve the system: 11x 16y 5 9 7 is already entered into your calculator C 11 16 2 B needs to be entered into your calculator [B] 5 Compute det C Compute 211 C1B 77 13 211, 211 CALCULATOR REQUIRED 2x y 14 Using a calculator, solve the system: 4x 2y 28 2 1 is already entered into your calculator D 4 2 14 B needs to be entered into your calculator [B] 28 Compute det D Since det D = 0, There is NO UNIQUE SOLUTION CALCULATOR REQUIRED 3x 7y z 1 Using a calculator, solve the system: 7x 3z 4 8x y 4z 2 3 7 1 E 7 0 3 is already entered into your calculator 8 1 4 1 B 4 needs to be entered into your calculator [B] 2 Compute 348 E1B 153 100 107 348 , 348 , 348 CALCULATOR REQUIRED x 4y 2z 5 Using a calculator, solve the system:3x 5y z 2 2z 7 1 4 2 F 3 5 1 is already entered into your calculator 0 0 2 5 B 2 needs to be entered into your calculator [B] 7 Compute 34 F1B 164 61 119 34 , 34 , 34 CALCULATOR REQUIRED 11x 2y 3z 0 Using a calculator, solve the system: 4x 3y 2z 1 x 2y 4z 2 1 4 2 G 3 5 1 is already entered into your calculator 0 0 2 0 B 1 needs to be entered into your calculator [B] 2 Compute 75 G1B 12 21 30 75 , 75 , 75