Which classification best describes the following system of equations? 3x+6y-12z=36 x=2y-4z=12 4x+8y-16z=48 inconsistent and dep
1 answer:
<u>Answer:</u>
Consistent and dependent
<u>Step-by-step explanation:</u>
We are given the following equation:
1.
2.
3.
For equation 1 and 3, if we take out the common factor (3 and 4 respectively) out of it then we are left with which is the same as the equation number 2.
There is at least one set of the values for the unknowns that satisfies every equation in the system and since there is one solution for each of these equations, this system of equations is consistent and dependent.
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So we know that the perimeter is 1260 feet and that the length is 100 more than the width, but we don't know that the width is.
So we're going to start with finding the width.
from there we need to combine like terms
now we have
From there, we will need to remove 100 from both sides, leaving us with
now we'll need to divide both sides by 2
We now know that the width is 580, or more simply put, x=580.
Finding the length will be the easy part, as we know that it is just 100 more than the width
If you want an easier way of finding the length, just subtract the width from the perimeter.
Leaving the final answer to be
Width = 580
Length = 680
So we're going to start with finding the width.
from there we need to combine like terms
now we have
From there, we will need to remove 100 from both sides, leaving us with
now we'll need to divide both sides by 2
We now know that the width is 580, or more simply put, x=580.
Finding the length will be the easy part, as we know that it is just 100 more than the width
If you want an easier way of finding the length, just subtract the width from the perimeter.
Leaving the final answer to be
Width = 580
Length = 680