Examine the consistency of the system of equations in Exercises 1 to 6. 1. x + 2y = 2 2. 2x y = 5 3. x + 3y = 5 2x + 3y = 3 x + y = 4 2x + 6y = 8 4. x + y + z = 1 5. 3xy 2z = 2 6. 5x y + 4z = 5 2x + 3y + 2z = 2 2y z = 1 2x + 3y + 5z = 2 ax + ay + 2az = 4 3x 5y = 3 5x 2y + 6z = 1 Solve system of linear equations, using matrix method, in Exercises 7 to 14. 7. 5x + 2y = 4 8. 2x y = 2 9. 4x 3y = 3 7x + 3y = 5 3x + 4y = 3 3x 5y = 7 10. 5x + 2y = 3 11. 2x + y + z = 1 12. x y + z = 4 3x + 2y = 5 x 2y z = 3 2 2x + y 3z = 0 3y 5z = 9 x + y + z = 2 13. 2x + 3y +3 z = 5 14. x y + 2z = 7 x 2y + z = 4 3x + 4y 5z = 5 3x y 2z = 3 2x y + 3z = 12
Question 1:x + 2y = 2
Question 2:2x – y = 5
Question 3:x + 3y = 5 2x + 3y = 3 x + y = 4 2x + 6y = 8
Question 4:x + y + z = 1
Question 5:3x–y – 2z = 2
Question 6:5x – y + 4z = 5 2x + 3y + 2z = 2 2y – z = –1 2x + 3y + 5z = 2 ax + ay + 2az = 4 3x – 5y = 3 5x – 2y + 6z = –1 Solve system of linear equations, using matrix method, in Exercises 7 to 14
Question 7:5x + 2y = 4
Question 8:2x – y = –2
Question 9:4x – 3y = 3 7x + 3y = 5 3x + 4y = 3 3x – 5y = 7
Question 10:5x + 2y = 3
Question 11:2x + y + z = 1
Question 12:x – y + z = 4 3x + 2y = 5 x – 2y – z = 3 2 2x + y – 3z = 0 3y – 5z = 9 x + y + z = 2
Question 13:2x + 3y +3 z = 5 14. x – y + 2z = 7 x – 2y + z = – 4 3x + 4y – 5z = – 5 3x – y – 2z = 3 2x – y + 3z = 12