Question

Module 4B Written Homework NAME CLASS SECTION Each question is worth five points. Clearly show all work and identify your final answer. Be sure to simplify all answers and include units if necessary For each of the systems of linear equations shown below, classify the system as consistent dependent, consistent independent, or inconsistent. Then determine if the system has one unique solution, no solution, or infinitely many solutions. 1. 9 a. Line 1: y4 Line 1: y-2x+ Line 2:yx+6 b. Line 2:x + 3y-12 2. Graph the following system of equations and identify the solution. 25

Answer 1

1 a)  

y = -1/3 x - 4

x + 3y = - 12

as we can see that graph of two lines is one line

which means this system is consistent dependent

hence, this systen has infinite many solutions

infinite many solutions

b) y = 1/2 x + 9/2

y = x+ 6

the two lines in the graph intersect at one point

so, the system is consistent independent

system has unique solution

unique solution