1. what is the solution to the system of equations? 3x-6y=-12 x-2y=-8 (a) use the substitution method to justify that the given system of equations has no solution. (b) what do you know about the two lines in this system of equations?

I know I am answering 3 years late but for the people who need help, this is the answer. I know because I go to k12. And FYI I am using the substitution method so you don't need to worry about that :)

A) 3x-6y=-12

x-2y=-8  

3(2y – 8) - 6y = -12  

 6y – 24 – 6y = -12  

 -24 ≠ -12  

There is no solution.  

B) If we were to graph them, the two lines would not intersect; they would be parallel.  

answer: 1 and 3

step-by-step explanation:

the smallest possible measurement of the width is 14 feet

step-by-step explanation:

let's assume length of parallelogram is 'l'

width of parallelogram is 'w'

the perimeter of a parallelogram must be no less than 40 feet

so, we get

we are given

length of parallelogram is 6 feet

so,

l=6

we can plug it

now, we can solve for w

subtract both sides by 12

divide both sides by 2

and we get

so,

the smallest possible measurement of the width is 14 feet