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# Algebra Help

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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&#8804; 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. &#9474;x/2&#9474;-5= -1

14. &#9474;2x-8&#9474;=0

Solve each absolute value inequality and graph the solution set.

15. &#9474;5x-1&#9474;&#8804; 14
16. 1> 1/2&#9474;6- x &#9474;-3/4

Graph each compound or absolute value inequality

17. x + y &#8804; 1 or y &#8804; 4
18. &#9474;x-3y&#9474;&#8805;9

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#### Solution Preview

Solve by graphing. Indicate whether each system is independent, dependent or inconsistent.

1. y= 2x-1 and x+y= 2

The system is independent. x = 1 and y =1.

2. 2x-3y=12 and 3y-2x= -12

The system is dependent.

3. 3x-y=4 and 3x-y=0

The system is inconsistent.

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

x = y + 3
3x - 2y = 3
3(y + 3) - 2y =3
3y + 9 - 2y =3
y = -6
x = -3
There is only one ...

#### Solution Summary

This solution is comprised of a detailed explanation to solve by graphing, the substitution method, addition method, indicate whether each system is independent, dependent or inconsistent, solve compound inequality and graph the solution set, and graph each compound or absolute value inequality.

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