Determine if the system of equations has a unique solution. 3x - 2y + z = 15

2x + 4y + 6z = 30

X - 2y + 4z = 10

A. No solution
B. Linearly Dependent, infinite solution
C. Linearly Independent, Unique solution

C. Linearly Independent, Unique solution

Step-by-step explanation:

x=11/2

y=7/4

z=2

unless you made a typo, the answers are both a and c.

step-by-step explanation:

1.5/3 is .5 whereas 3/9 is .3333333 not proportional

22/33 is .66666 and 4/6 is also .66666 proportional

2/4 is .5 whereas 142/213 is .66666 not proportional

14/7 is 2 and 7/3.5 is also 2 proportional

you could've also checked it by doing this simple division:

if the larger fraction divides with the smaller fraction to equal 1, it is proportional. so let me show you what i mean:

when i divide 22/33 by 4/6 i get 1, so we know it is proportional, and it is the same with 14/7 and 7/3.5. now if i divide 3/9 by 1.5/3 i get .66666 so therefore we know it is not proportional.

there are many ways to do this so i wanted to show you some possible ways.