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X/3=y/8=z/5 và 2x+3y-z=50

User Wes Hardaker
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2 Answers

17 votes
17 votes
x/3=y/8=z/5
2x+3y-z=50

x/3=y/8
x/3=z/5
2x+3y-z=50

8x-3y=0
5x-3z=0
2x+3y-z=50

x=3/8y
5x-3z=0
2x+3y-z=50

5×3/8y-3z=0
2×3/8y+3y-z=50

15y-24z=0
-15y+4z=-200

-20z=-200
z=10

15y-24×10=0
y=16

x=3/8×16
x=6

(x, y, z)=(6, 16, 10)

Hope my answer helped u :)
User Cryophallion
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20 votes
20 votes

Explanation:

z = 5y/8

x = 3y/8

2x + 3y - z = 50

6y/8 + 3y - 5y/8 = 50

6y/8 + 24y/8 - 5y/8 = 50

25y/8 = 50

25y = 400

y = 16

x = 3y/8 = 3×16/8 = 3×2 = 6

z = 5y/8 = 5×16/8 = 5×2 = 10

User Didier Aupest
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3.1k points