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Lesson Example Discussion Quiz: Class Homework

Quiz Discussion

Title: System of Linear Equations with Infinite Solutions

Grade: 1300-a Lesson: S1-L7

Explanation: Let us discuss a few questions on this topic and review the answers to every question.

Quiz: Discussion in Class

Problem Id	Problem	Options
Steps 1	In the system of equations above, s and m are constants. If the system has infinitely many solutions, what is the value of sm: sx + my = 12 and 3x + 12y = 6	A) 144 B) 410 C) 414 D) 140
Steps 2	In the system of equations above, h and p are constants. If the system has infinitely many solutions, what is the value of h - p: -x + 6y = 9 and hy - px = 81	A) 50 B) 45 C) 40 D) 54
Steps 3	Show that the following system of equations has an infinite solution: 3x - y = 2 and 9x - 3y = 6	A) \$ (a_1)/(a_2) = (b_1)/(b_2) = (c_1)/(c_2) \$ B) \$ (a_1)/(a_2) ne (b_1)/(b_2) = (c_1)/(c_2) \$ C) \$ (a_1)/(a_2) = (b_1)/(b_2) ne (c_1)/(c_2) \$ D) \$ (a_1)/(a_2) ne (b_1)/(b_2) ne (c_1)/(c_2) \$
Steps 4	In the system of equations above, g and h are constants. If the system has infinitely many solutions, what is the value of g:h 2y = - x + 25 and gx = - hy + 100	A) 4 : 8 B) 1 : 2 C) 8 : 4 D) 2 : 1
Steps 5	Show that the following system of equations has an infinite solution: - 14x + 21y = 35 and 2x - 3y = -5	A) \$- 7 ne 7 ne - 7 \$ B) \$ - 1/7 ne - 7 = - 7\$ C) 5 = 5 = 5 D) - 7 = - 7 = - 7

Problem Id

Problem

Options

Steps 1

In the system of equations above, s and m are constants. If the system has infinitely many solutions, what is the value of sm:
sx + my = 12 and 3x + 12y = 6

A) 144

B) 410

C) 414

D) 140

Steps 2

In the system of equations above, h and p are constants. If the system has infinitely many solutions, what is the value of h - p:
-x + 6y = 9 and hy - px = 81

A) 50

B) 45

C) 40

D) 54

Steps 3

Show that the following system of equations has an infinite solution:
3x - y = 2 and 9x - 3y = 6

A) \$ (a_1)/(a_2) = (b_1)/(b_2) = (c_1)/(c_2) \$

B) \$ (a_1)/(a_2) ne (b_1)/(b_2) = (c_1)/(c_2) \$

C) \$ (a_1)/(a_2) = (b_1)/(b_2) ne (c_1)/(c_2) \$

D) \$ (a_1)/(a_2) ne (b_1)/(b_2) ne (c_1)/(c_2) \$

Steps 4

In the system of equations above, g and h are constants. If the system has infinitely many solutions, what is the value of g:h
2y = - x + 25 and gx = - hy + 100

A) 4 : 8

B) 1 : 2

C) 8 : 4

D) 2 : 1

Steps 5

Show that the following system of equations has an infinite solution:
- 14x + 21y = 35 and 2x - 3y = -5

A) \$- 7 ne 7 ne - 7 \$

B) \$ - 1/7 ne - 7 = - 7\$

C) 5 = 5 = 5

D) - 7 = - 7 = - 7