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Algebra Help

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June 18th, 2023

Solve by graphing. Indicate whether each system is independent, dependent or inconsistent.
1. y= 2x-1
x+y= 2

2. 2x-3y=12
3y-2x= -12
3. 3x-y=4
3x-y=0

Solve each system by the substitution method. Indicate whether each system is independent, dependent or inconsistent
4. x-y=3
3x-2y=3

5. 3y=x+5
3x-9y= -10
6. x=1/8y -1
y=1/4x +39

Solve by the addition method. Indicate whether each system is independent, dependent or inconsistent.
7. -3x+y=3
2x-3y=12

8. x+3(y-1)=11
2(x-y) +8y=28

9. 1/3x – 1/6y = 1/3
1/6x +1/4y= 0

Solve each compound inequality. State the solution set using interval notation and graph it

10. x≤ 0 and x – 6< 3
11. 1/3x >2 and 1/4x>2
12. -1/2x<6 or 2/3x<4
Solve each absolute value equation and graph the solution set
13. │x/2│-5= -1

14. │2x-8│=0

Solve each absolute value inequality and graph the solution set.

15. │5x-1│≤ 14
16. 1> 1/2│6- x │-3/4

Graph each compound or absolute value inequality

17. x + y ≤ 1 or y ≤ 4
18. │x-3y│≥9

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