Question

PLEASE PLEASE HELPPPPP!!!

Solve each problem by graphing. Determine if it is consistent or inconsistent.

1. x + y = 3, x – y = 0

2. 3x + 2y = 5, 6x + 4y = -3

3. x + y = 3, x + y = -2

4. x – y =0, 2x – y = 0 (0, 0)

5. x + 2y = 0, x + y = 1 (2, -1)

6. x – 4y = 9, 2x – 3y = 8 (1, -2)

7. 3x + 9y = 9, 2x – 3y = 6 (3, 0)

8. x + y = 2, x – y = 0 (1, 1 )

9. x + y = 1, x – y = -3 (-1, 2)

10. 2x + y =2, x -2y = -4 (0, 2)

11. 2x + 3y = 3, 4x + 6y = -12

12. 3x -2y = -1, 2x – 4y = 2

13. y = -1, x = -2

14. x – y = 1, y = 2

15. 3x + 3y = 21, 3x + 4y = 24

16. 3x + 2y = 5, 9x + 6y = 12

17. 2x + y = -6, x = -3

18. 4x + 9y = 13, y = x

Answer 1

1. x + y = 3, x – y = 0
Consistent. (1,2)

2. 3x + 2y = 5, 6x + 4y = -3
Inconsistent.

3. x + y = 3, x + y = -2
Inconsistent.

4. x – y =0, 2x – y = 0
Consistent. (0, 0)

5. x + 2y = 0, x + y = 1
Consistent. (1, 0)

6. x – 4y = 9, 2x – 3y = 8
Consistent. (7, -1)

7. 3x + 9y = 9, 2x – 3y = 6
Consistent. (3, 0)

8. x + y = 2, x – y = 0
Consistent. (1, 1)

9. x + y = 1, x – y = -3
Consistent. (-1, 2)

10. 2x + y =2, x -2y = -4
Consistent. (2, -2)

11. 2x + 3y = 3, 4x + 6y = -12
Inconsistent.

12. 3x -2y = -1, 2x – 4y = 2
Consistent. (0.5, 1.25)

13. y = -1, x = -2
Consistent. (-2, -1)

14. x – y = 1, y = 2
Inconsistent.

15. 3x + 3y = 21, 3x + 4y = 24
Inconsistent.

16. 3x + 2y = 5, 9x + 6y = 12
Consistent. (2, 1/2)

17. 2x + y = -6, x = -3
Consistent. (-3, -12)

18. 4x + 9y = 13, y = x
Consistent. (1,1)