помогите решить одновременые уравнения х+у=20у=3х-2. Created by madsenandreas. algebra-ru

помогите решить одновременые уравнения х+у=20у=3х-2...

madsenandreas @madsenandreas

July 2022 1 8 Report

помогите решить одновременые уравнени
я
х+у=20
у=3х-2

Answers & Comments

papagenius

Verified answer

Ответ:

Объяснение:

$\left\{\begin{gathered}x+y=20\hfill\\y=3x-2\hfill\\\end{gathered}\right.\Leftrightarrow\left\{\begin{gathered}x+(3x-2)=20\hfill\\y=3x-2\hfill\\\end{gathered}\right.\Leftrightarrow\left\{\begin{gathered}x+3x-2=20\hfill\\y=3x-2\hfill\\\end{gathered}\right.\Leftrightarrow$

$\left\{\begin{gathered}4x=20+2\hfill\\y=3x-2\hfill\\\end{gathered}\right.\Leftrightarrow\left\{\begin{gathered}4x=22\hfill\\y=3x-2\hfill\\\end{gathered}\right.\Leftrightarrow\left\{\begin{gathered}x=22\div4\hfill\\y=3x-2\hfill\\\end{gathered}\right.\Leftrightarrow\left\{\begin{gathered}x=5.5\hfill\\y=3x-2\hfill\\\end{gathered}\right.\Leftrightarrow$

$\left\{\begin{gathered}x=5.5\hfill\\y=3\cdot5.5-2\hfill\\\end{gathered}\right.\Leftrightarrow\left\{\begin{gathered}x=5.5\hfill\\y=14.5\hfill\\\end{gathered}\right.$

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