Question

tim x va y biet :

1. 4x=5y va y-2x = -5

2. \(\frac{x}{3}=\frac{y}{4}vaxy=192\)

 

Answer 1

1, \(4x=5y\) 

mà  \(y-2x=-5\)

\(\Rightarrow x=\frac{y+5}{2}\)

\(\Rightarrow\left(\frac{y+5}{2}\right).4=5y\)

\(\Rightarrow\frac{4y+20}{2}=5y\)

\(\Rightarrow2y+10=5y\)

\(\Rightarrow10=3y\)

\(\Rightarrow y=\frac{10}{3}\)

\(\Rightarrow x=\frac{y+5}{2}=\frac{\frac{10}{3}+5}{2}=\frac{\frac{25}{3}}{2}=\frac{25}{6}\)

Vậy \(x=\frac{25}{6};y=\frac{10}{3}\)

b, \(\frac{x}{3}=\frac{y}{4}\)

mà \(xy=192\)

Gọi \(x=3k\)

        \(y=4k\)

\(\Rightarrow3k.4k=192\)

\(\Rightarrow12.k^2=192\)

\(\Rightarrow k^2=\frac{192}{12}\)

\(\Rightarrow k^2=16\)

\(\Rightarrow k^2=4^2\)

\(\Rightarrow k=4\)

\(\Rightarrow x=3k=3.4=12\)

\(\Rightarrow y=4k=4.4=16\)

Vậy \(x=12;y=16\)