Question

giải hệ phương trình sau: (lm chi tiết giúp mik vs cảm ơn )

{A + G =50%

A/G = 0,6 

Answer 1

\(\left\{{}\begin{matrix}A+G=50\%\\\dfrac{A}{G}=0,6\end{matrix}\right.\)

\(\Leftrightarrow\left\{{}\begin{matrix}A+G=0,5\\\dfrac{A}{G}=0,6\end{matrix}\right.\)

\(\Leftrightarrow\left\{{}\begin{matrix}A+G=0,5\\A=0,6G\end{matrix}\right.\)

Thay \(A=0,6G\) vào ta có:

\(\Leftrightarrow\left\{{}\begin{matrix}0,6G+G=0,5\\A=0,6G\end{matrix}\right.\)

\(\Leftrightarrow\left\{{}\begin{matrix}1,6G=0,5\\A=0,6G\end{matrix}\right.\)

\(\Leftrightarrow\left\{{}\begin{matrix}G=\dfrac{0,5}{1,6}\\A=0,6G\end{matrix}\right.\)

\(\Leftrightarrow\left\{{}\begin{matrix}G=0,3125\\A=0,6\cdot0,3125\end{matrix}\right.\)

\(\Leftrightarrow\left\{{}\begin{matrix}G=0,3125\\A=0,1875\end{matrix}\right.\)

Vậy: \(\left\{{}\begin{matrix}G=31,25\%\\A=18,75\%\end{matrix}\right.\)