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!
Can you make the answer clearer. I would be glad to help you. I just don't understand where it says "the sum of three numbers is 16 the sum of twice the first number"
Equivalent ratios are those ratios which are same that is on simplifying each of them, we will get the same answer.
A.
So they are not equivalent
B.
So they are not equivalent
C.
They are not equivalent too.
D.
And they are equivalent. SO the correct option is D .
A)We have been given →
Hieght of trough = 5m
length of trough = 6m
Breadth of trough = 4m
so , As the top is opened for feeding animals.
Area of base = length× Breadth
= (6×4) m²
= 24 m²
Area of Front and back face = Hieght × length
= (5×6) m²
= 30m²
Area of side faces = hieght × Breadth
= (5×4) m²
= 20 m²
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B)Total Surface area of trough will be given by formula - 2(lb+bh+hl)
= 2{(6×4)+(4×5)+(5×6)}
= 2{24+20+30}
= 2×74
= 148 m²
As we have been told top is open , so we will deduct top from Total surface Area to obtain Surface area →
(148-24) m²
(Area of top will be same as base area , that is 24m² as we have solved in A)
= 124m²
Answer→ Surface area of trough is 124m²
___________________________________
If we manipulate the equation and make k the subject we get 1.2 which is the answer.
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If we manipulate the equation and make z the subject we get 63.36 which is the answer.
If we manipulate the equation and make x the subject we get 1.2 which is the answer.
If we manipulate the equation and make x the subject we get -0.831 which is the answer.
If we manipulate the equation and make x the subject we get 0.706 which is the answer.