Chapter 6 Exam Linear Systems (15)

Name three type of linear systems studied in chapter 6

• Mr. Van is funny

• intersecting

  parallel

  camping is fun

• parallel

  coincidental

  intersecting

• green

  blue

  red

Yes or No, is (2,2) the solution to the system

x + y = 22 and x - y = 4

• yes

• no

• parallel

• I do not know

If you graph a coincidental system the solution is always

(x, y ) or no solution or y = mx + b ?

• (x, y)

• no solution

• infinite

• y = mx + b

Is (5, 7) or (6, 4) the solution to the system

3x + y = 22 and x - y =2?

• parallel

• (6, 4)

• (5, 7)

• both

Is (8, 7) or (5, 4) or (-10, 1) the solution to the system

x - y = 1 and x + y = 9?

• parallel

• (8, 7)

• (-10, 1)

• (5, 4)

What is the solution in the graph below?

• y = mx + b

• parallel

• no solution

Graph the system y = 3x + 1 and y = 2x + 2

and determine the solution

• (4, 1)

• intersecting

• (4, 4)

• (1, 4)

Solve by using the substitution method

2x + y = 14 and y = x - 1

• (5, 3)

• (5, 4)

• no solution

• (6, 2)

Solve by using the elimination method for addition or subtraction

6x + 2y = 2

5x - 2y = 9

• (1, 2)

• (2, 1)

• no solution

• (1, -2)

Solve by using the elimination method for multiplication

2x + 4y = 16

3x - 3y = 15

• (1, 6)

• (6, 0)

• (6, 1)

• (1, -6)