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# Systems of Equations

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

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

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

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

3. 3y = x + 5
3x - 9y = -10

4. x = 1/8y - 1
y= 1/4x = 39

Solve each system by the addition method. Indicate whether each system is independent, inconsistent, or dependent.

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

6. 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.

7. X < 0 and x + 6>3

8. - 1/2x < 6 or 2/3x < 4

Solve each absolute value equation and graph the solution set

9. I 2x-8 I = 0

Solve each absolute value inequality and graph the solution set

10. I x-7 I < -4

11. 1 > ½ I 6-x I - ¾

Graph each compound or absolute value inequality

12. I x - 3y I > 9

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https://brainmass.com/math/linear-algebra/191950

#### Solution Summary

This shows how to solve systems of inequalities and equations, including independent/dependent/inconsistent systems.

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