Matematică, întrebare adresată de username98, 8 ani în urmă

Repede pls:am nevoie de ajutor sa rezolv Exercițiile din poză.

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Răspunsuri la întrebare

Răspuns de pav38
78

Răspuns:

Explicație pas cu pas:

I~\begin{gathered}\begin{cases}\bf x+y = 5\\\\\bf x-y = 3\end{cases}\end{gathered}\implies\begin{gathered}\begin{cases}\bf x+y = 5\\\\\bf x = 3+y\end{cases}\end{gathered}\implies\begin{gathered}\begin{cases}\bf 3+y+y = 5\\\\\bf x=3+y\end{cases}\end{gathered}

\it~~

\implies\begin{gathered}\begin{cases}\bf 3+2y = 5\\\\\bf x=3+y\end{cases}\end{gathered}\implies\begin{gathered}\begin{cases}\bf 2y = 2\\\\\bf x=3+y\end{cases}\end{gathered}\implies\begin{gathered}\begin{cases}\boxed{\bf y = 1}\\\\\boxed{\bf x=4}\end{cases}\end{gathered}

\it~~~

II~\begin{gathered}\begin{cases}\bf x+y = 1\\\\\bf 2x+3y =5\end{cases}\end{gathered}\implies\begin{gathered}\begin{cases}\bf x=1-y\\\\\bf 2(1-y)+3y=5\end{cases}\end{gathered}\implies\begin{gathered}\begin{cases}\bf x=1-y\\\\\bf 2-2y+3y=5\end{cases}\end{gathered}

\it~~

\implies\begin{gathered}\begin{cases}\bf x=1-y\\\\\bf y=5-2\end{cases}\end{gathered}\implies\begin{gathered}\begin{cases}\bf x=1-3\\\\\boxed{\bf y=3}\end{cases}\end{gathered}\implies\begin{gathered}\begin{cases}\boxed{\bf x=-2}\\\\\boxed{\bf y=3}\end{cases}\end{gathered}

\it~~

III~\begin{gathered}\begin{cases}\bf \sqrt{7} x+\sqrt{28} y = 0\\\\\bf \sqrt{63}x+\sqrt{7} y =-5\sqrt{7} \end{cases}\end{gathered}\implies \begin{gathered}\begin{cases}\bf \sqrt{7} x+2\sqrt{7} y = 0~\bigg|\cdot3\\\\\bf 3\sqrt{7}x+\sqrt{7} y =-5\sqrt{7} \end{cases}\end{gathered}\implies

\it~~

\begin{gathered}\begin{cases}\bf 3\sqrt{7} x+6\sqrt{7} y = 0\\\\\bf 3\sqrt{7}x+\sqrt{7} y =-5\sqrt{7} \end{cases}\end{gathered}\implies\begin{gathered}\begin{cases}\bf 3\sqrt{7} x = -6\sqrt{7}y\\\\\bf  -6\sqrt{2}y+\sqrt{7} y =-5\sqrt{7} \end{cases}\end{gathered}\implies

\it~~~

\begin{gathered}\begin{cases}\bf 3\sqrt{7} x = -6\sqrt{7}y~\big|:_{3\sqrt{7}} \\\\\bf  -5\sqrt{7}y =-5\sqrt{7} \end{cases}\end{gathered}\implies\begin{gathered}\begin{cases}\bf  x = -2y\\\\\boxed{\bf  y =1} \end{cases}\end{gathered}\implies\begin{gathered}\begin{cases}\boxed{\bf  x = -2}\\\\\boxed{\bf  y =1} \end{cases}\end{gathered}

Bafta multa!

P.S.: Te rog sa glisezi spre stânga pentru a vedea toata rezolvarea daca esti pe telefon

==pav38==


username98: Ms
pav38: Cu placere
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