Quiz Discussion

Title: System of Linear Equations with Infinite Solutions

Grade Lesson s5-l7

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

Quiz: Discussion

Discussion: Steps1 Steps2 Steps3 Steps4 Steps5

Id Name Note

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

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

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) n (b_1)/(b_2) ne (c_1)/(c_2) \$

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

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

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

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