I'll do a similar problem, and I challenge you to do this on your own using similar methods!
x+5y+2z=23
8x+4y+3z=12
9x-3y-7z=-10
Multiplying the first equation by -8 and adding it to the second one (to get rid of the x) and also multiplying the first equation by -9 and adding the third one to get rid of the x there too, we end up with
-36y-13z=-92
and
-48y-25z=-217
Multiplying both equations by -1, we get
36y+13z=-92
48y+25z=217
Multiplying the (new) first equation by -4/3 and adding it to the second (to get rid of the y), we get
(7+2/3)z=94+1/3
Dividing both sides by (7+2/3) to separate the z, we get
z=

Plugging that into
48y+25z=217, we can subtract 25z from both sides and divide by 48 to get

Lastly, we plug this into x+5y+2z=23 to get
x=23-5y-2z by subtracting 5y+2z from both sides to get
Good luck, and feel free to ask with any questions!
9514 1404 393
Answer:
see attached
Step-by-step explanation:
It is helpful to understand that the product of the binomial factors is ...
(ax +b)(cx +d) = ac·x² +(ad+bc)x +bd
For these problems you only need to look at the constant and the leading coefficient to find the missing values.
__
1. d = 8/-4 = -2
2. b = -24/(3·2·d) = -4; c = 3/(3·a) = 1
3. a = 2/c = 1; d = -24/b = 6
Answer:
$116.00
Step-by-step explanation:
80.00x45%=36.00
80.00+36.00=116.00
Yes. 2/7 would equals 6/21, and 6/21 is greater than 4/21.
Answer:
the proportion is 0.2779, that is a 27.79%
Step-by-step explanation:
The article reported that 1880 children ate fast food from a sample of 6765 children. We can use the rule of three to find the proportion of children that ate fast food
- from 6765 we have 1880 children that ate fast food
- from 100 children we have
children that ate fast food
that gives us that a 27.79% of the children ate fast food on a typical day. We can obtain the proportion by dividing the percentage by 100, that gives us a proportion of 27.79/100 = 0.2779.
I hope this helped you!