Lesson 3.9: Solving Linear Systems Graphically

Question 1

Identify any solutions to the system given below.2x + y = 53y = 15 – 6x

Revolt · Accepted Answer

(6, –7); (2, 1); (–4, 13)

Question 2

The system shown below is consistent and independent✔ consistent and dependentinconsistent. x + 3y = 4 3x + 9y = 12

Revolt · Accepted Answer

✔ consistent and dependent; consistent and dependent; inconsistent; consistent and independent

Question 3

Which graph is the solution to the system y 2x – 3 and y < 2x + 4?

Revolt · Accepted Answer

Answer image: //media.edgenuity.com/EVresources/3111-04-01-20-04/mc001-3.jpg

Question 4

Which region represents the solution to the system shown here?y [image 1] –3x + 5 and y [image 2] 0.5x – 1

Revolt · Accepted Answer

IV

Question 5

Which equation, when paired with y = 2x + 5, creates an inconsistent system?

Revolt · Accepted Answer

2y – 4x = –10

Question 6

Which system of inequalities has no solution?

Revolt · Accepted Answer

[image 1] [image 2]

Question 7

Which system of inequalities has a line as a solution?

Revolt · Accepted Answer

[image 1] [image 2]

Question 8

Identify any solutions to the system shown here. [image 1] [image 2]

Revolt · Accepted Answer

(0.5, 2); (–2, 4)

Question 9

Question 9

Revolt · Accepted Answer

consistent and dependent; inconsistent; consistent and independent

Question 10

The system shown below is consistent and independentconsistent and dependent✔ inconsistent.3x – 4y = 126x – 8y = 21

Revolt · Accepted Answer

✔ inconsistent

Lesson 3.9: Solving Linear Systems Graphically Answers