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1. [ x - 1=6 3x + 5y = 2 In Exercises 4-6, solve the system by the method of elimination. 4. 2x + 5y
1. [ x - 1=6 3x + 5y = 2 In Exercises 4-6, solve the system by the method of elimination. 4. 2x + 5y = -11 5. 3x - 2y + z = 0 6. 5x - y = 19 6x + 2y + 3z = 3x - 4y + 5z 7. Find the equation of the parabola y = ax + bx + c that passes through the points (0. 6). (-2. 2), and (3. =). In Exercises 8 and 9, write the partial fraction decomposition for the rational expression. -2x + 2y + 3z = 8. y+4- -1 In Exercises 10 and 11, use matrices to solve the system of equations, if possible. System for 13 10. 2r + y + 2: = 4 11. 2c + 3y 10 2r + 2y 5 (2x - v + 62 = 2 12 (4. ID) 10 12. If possible. find (a) A - B. (b) 34. (c) 3A - 28. and (d) AB. 8 - 6 1(4, 5) B (-1. 1) 6 13. Find A- for A and use A"! to solve the system at the nightIn Exercises 10 and 11, use matrices to solve the system of equations, if possible. System for 13 10. [2x + y + 2z = 4 11. [2x + 3y + z = 10 2x + 2y 5 2x - 3y - 3z = 22 2x - y + 6z = 2 4x - 2y + 3z = -2 12- (4, 11) 10- 12. If possible, find (a) A - B. (b) 3A. (c) 3A - 28, and (d) AB. 8 -+ (4, 5) A B = 4 9 - (-1, 1)/ -8 -6 -4 -2 2 4 6 8 13. Find A"' for A and use A"' to solve the system at the right. (-1.-5) -6- In Exercises 14 and 15, find the determinant of the matrix. Figure for 16 14. - 25 18 15. 6 400 600' 16. Use determinants to find the area of the parallelogram shown at the right. XA 17. Use Cramer's Rule to solve (if possible) 20 - 2v = 300 - 100 18. The flow of traffic (in vehicles per hour) through a network of streets is shown at the right. Solve the system for the traffic flow represented by c. . =. 1. 2. 3. 4, and 5. Figure for 18
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