Jeszcze z tym zadaniem potrzebuję pomocy :I.... Question from @S4nDb0x

S4nDb0x @S4nDb0x

March 2022 2 11 Report

Jeszcze z tym zadaniem potrzebuję pomocy :I

kubakob

Odpowiedź:

Szczegółowe wyjaśnienie:

1/x+3/y=5,5

2/x-3/y=9,5

3/y=(5,5-1/x)

2/x-5,5+1/x=9,5

3/y=(5,5-1/x)

2/x+1/x=15

3/y=(5,5-1/x)

2/x+1/x=15

3/y=(5,5-1/x)

x=3/15

3/y=0,5

x=3/15

y=6

x=3/15

1 votes Thanks 1

Magda

Odpowiedź:

$+\begin{cases}\frac{1}{x}+\frac{3}{y}=5,5\\\frac{2}{x}-\frac{3}{y}=9,5\end{cases}\\\\--------\\\frac{3}{x}=15\\\\15x=3\ \ /:15\\\\x=\frac{3}{15}\\\\x=\frac{1}{5}\\\\\\Podstawiamy\ \ x\ \ do\ \ pierwszego\ \ r\'ownania\\\\\\\dfrac{1}{\frac{1}{5}}+\dfrac{3}{y}=5,5\\\\1\cdot5+\frac{3}{y}=5,5\\\\5+\frac{3}{y}=5,5\\\\\frac{3}{y}=5,5-5\\\\\frac{3}{y}=0,5\\\\0,5y=3\ \ /:0,5\\\\y=3:0,5\\\\y=3:\frac{1}{2}\\\\y=3\cdot2\\\\y=6\\\\\\\begin{cases}x=\frac{1}{5}\\y=6\end{cases}$

0 votes Thanks 0

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