Vì \(\frac{x}{3}=\frac{y}{4}=>x=\frac{3}{4}y\)
\(\frac{y}{5}=\frac{z}{6}=>z=\frac{6}{5}y\)
Ta có
\(M=\frac{2x+3y+4z}{3x+4y+5z}=\frac{2.\frac{3}{4}y+3y+4.\frac{6}{5}y}{3.\frac{3}{4}y+4y+5.\frac{6}{5}y}=\frac{\frac{93}{10}y}{\frac{49}{4}y}=\frac{93}{10}:\frac{49}{4}=\frac{186}{245}\)
Cho\(\frac{x}{3}=\frac{y}{4};\frac{y}{5}=\frac{z}{6}\).Tính \(M=\frac{2x+3y+4z}{3x+4y+5z}\)
Tìm x , y , z :
a) \(\frac{x-1}{2}=\frac{y-2}{3}=\frac{z-3}{4}\) và 2x + 3y - z = 50
b) \(\frac{x-1}{2}=\frac{y+3}{4}=\frac{x-5}{6}\)và 5x - 3y - 4z = 46
c) \(\frac{2x}{5}=\frac{3y}{10}=\frac{z}{12}\)và x + y + z = 107
d) \(\frac{5z-6y}{4}=\frac{6x-4z}{5}=\frac{4y-5z}{6}\)và 3x - 2y + 5z = 96
Cho \(\frac{x}{3}=\frac{y}{4}\)và \(\frac{y}{5}=\frac{z}{6}\). tính M = \(\frac{2x+3y+4z}{3x+4y+5z}\)
Cho \(\frac{x}{3}=\frac{y}{4},\frac{y}{5}=\frac{z}{6}\)Tinh M= \(\frac{2x+3y+4z}{3x+4y+5z}\)
Cho \(\frac{x}{3}=\frac{y}{4}và\frac{y}{5}=\frac{z}{6}.\)Tính\(\frac{2x+3y+4z}{3x+4y+5z}\)
Cho \(\frac{3}{x+3}=\frac{4}{y+4}\) và \(\frac{y+10}{5}=\frac{z+12}{6}\)
Tính \(M=\frac{2x+3y+4z}{3x+4y+5z}\)
Cho \(\frac{x}{3}=\frac{y}{4}\)và \(\frac{y}{5}=\frac{z}{6}\).Tính \(M=\frac{2x+3y+4z}{3x+4y+5z}\)
CHo \(\frac{x}{3}=\frac{y}{4};\frac{y}{5}=\frac{z}{6}\)Tinh \(M=\frac{2x+3y+4z}{3x+4y+5z}\)
Cho \(\frac{x}{3}=\frac{y}{4};\frac{y}{5}=\frac{z}{6}\)
Tinh: M =\(\frac{2x+3y+4z}{3x+4y+5z}\)
