Explanation Approach: In a system of linear equations with two variables, the graph of each equation is a line. These lines are related to each other. There relation can be expressed in any of the three ways. a) They intersect at a single point. b) Graphs of the equations are parallel lines where there is no intersection point. This means the solution set is empty ad the system is called inconsistent system. c) Graphs are on the same line where there are infinitely many points in the solution set. This type of system is called dependent systems. Solving a system of equations by graphing the equations and looking for the intersection points is called graphing method. Ex: x + y ≥ 2 2 x - y ≤ 1 Graph the first inequality x + y ≥ 2 . Next graph the other inequality 2 x - y ≤ 1 . The intersection area of these two inequalities is the solution to the system. Calculation: Given system of equations i s 2 x - y + 2 ≤ 0 2 x - y + 12 ≥ 0 3 x + 2 y + 10 > 10 3 x + 2 y - 18 < 0 Graph each inequality equations and finally look for the intersection area. Graph the next inequality 2 x - y + 12 ≥ 0 and look for the intersection area

Nature of Mathematics (MindTap Course List)

13th Edition

ISBN: 9781133947257

Author: karl J. smith

Publisher: Cengage Learning

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Chapter 16.CR, Problem 17CR

To determine

To graph:

To graph the solution of the system: 2x-y+2≤02x-y+12≥03x+2y+10>103x+2y-18<0.

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Chapter 16.CR, Problem 16CR

Chapter 16.CR, Problem 18CR

Chapter 16 Solutions

Nature of Mathematics (MindTap Course List)

Ch. 16.1 - IN YOUR OWN WORDS Can you relate to the Fox Trot...Ch. 16.1 - Prob. 2PS Ch. 16.1 - Prob. 3PS Ch. 16.1 - Prob. 4PS Ch. 16.1 - Prob. 5PS Ch. 16.1 - Prob. 6PS Ch. 16.1 - Prob. 7PS Ch. 16.1 - Prob. 8PS Ch. 16.1 - Prob. 9PS Ch. 16.1 - Prob. 10PS

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To graph: To graph the solution of the system: 2 x - y + 2 ≤ 0 2 x - y + 12 ≥ 0 3 x + 2 y + 10 > 10 3 x + 2 y - 18 < 0 .

Solution Summary: The author explains the graphing method of solving linear equations with two variables. The intersection area of these two inequalities is the solution of the system.

Videos

To graph:

To graph the solution of the system: 2x-y+2≤02x-y+12≥03x+2y+10>103x+2y-18<0.

Want to see the full answer?

Chapter 16 Solutions

To graph: To graph the solution of the system: 2 x - y + 2 ≤ 0 2 x - y + 12 ≥ 0 3 x + 2 y + 10 &gt; 10 3 x + 2 y - 18 &lt; 0 .

Solution Summary: The author explains the graphing method of solving linear equations with two variables. The intersection area of these two inequalities is the solution of the system.

Videos

To graph: To graph the solution of the system: 2x-y+2≤02x-y+12≥03x+2y+10>103x+2y-18<0.

Want to see the full answer?

Chapter 16 Solutions

To graph: To graph the solution of the system: 2 x - y + 2 ≤ 0 2 x - y + 12 ≥ 0 3 x + 2 y + 10 > 10 3 x + 2 y - 18 < 0 .

To graph:

To graph the solution of the system: 2x-y+2≤02x-y+12≥03x+2y+10>103x+2y-18<0.