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