x/y = 7/20 , y/z = 5/8 và 2x + 5y – 2z =100 giúp e vs ah 03/09/2021 Bởi Mary x/y = 7/20 , y/z = 5/8 và 2x + 5y – 2z =100 giúp e vs ah
Đáp án: x=14,y=40,z=64 Giải thích các bước giải: \(\left\{ \begin{array}{l}\frac{x}{y} = \frac{7}{{20}}\\\frac{y}{z} = \frac{5}{8}\\2x{\rm{ }} + {\rm{ }}5y{\rm{ }} – {\rm{ }}2z{\rm{ }} = 100\end{array} \right. \leftrightarrow \left\{ \begin{array}{l}x = \frac{{7y}}{{20}}\\z = \frac{{8y}}{5}\\2x{\rm{ }} + {\rm{ }}5y{\rm{ }} – {\rm{ }}2z{\rm{ }} = 100\end{array} \right. \leftrightarrow \left\{ \begin{array}{l}x = \frac{{7y}}{{20}}\\z = \frac{{8y}}{5}\\2.\frac{{7y}}{{20}}{\rm{ }} + {\rm{ }}5y{\rm{ }} – {\rm{ }}2.\frac{{8y}}{5}{\rm{ }} = 100\end{array} \right. \leftrightarrow \left\{ \begin{array}{l}x = \frac{{7y}}{{20}}\\z = \frac{{8y}}{5}\\\frac{{5y}}{2}{\rm{ }} = 100\end{array} \right. \leftrightarrow \left\{ \begin{array}{l}y = 40\\x = \frac{7}{{20}}.40 = 14\\z = \frac{8}{5}.40 = 64\end{array} \right.\) Bình luận
Đáp án:
x=14,y=40,z=64
Giải thích các bước giải:
\(\left\{ \begin{array}{l}
\frac{x}{y} = \frac{7}{{20}}\\
\frac{y}{z} = \frac{5}{8}\\
2x{\rm{ }} + {\rm{ }}5y{\rm{ }} – {\rm{ }}2z{\rm{ }} = 100
\end{array} \right. \leftrightarrow \left\{ \begin{array}{l}
x = \frac{{7y}}{{20}}\\
z = \frac{{8y}}{5}\\
2x{\rm{ }} + {\rm{ }}5y{\rm{ }} – {\rm{ }}2z{\rm{ }} = 100
\end{array} \right. \leftrightarrow \left\{ \begin{array}{l}
x = \frac{{7y}}{{20}}\\
z = \frac{{8y}}{5}\\
2.\frac{{7y}}{{20}}{\rm{ }} + {\rm{ }}5y{\rm{ }} – {\rm{ }}2.\frac{{8y}}{5}{\rm{ }} = 100
\end{array} \right. \leftrightarrow \left\{ \begin{array}{l}
x = \frac{{7y}}{{20}}\\
z = \frac{{8y}}{5}\\
\frac{{5y}}{2}{\rm{ }} = 100
\end{array} \right. \leftrightarrow \left\{ \begin{array}{l}
y = 40\\
x = \frac{7}{{20}}.40 = 14\\
z = \frac{8}{5}.40 = 64
\end{array} \right.\)