Respostas
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Boa noite Rafa!
Solução!
Vamos substituir as retas na equação do plano para determinarmos a terna.
![y=2x+3\\\\\\
z=3x-4\\\\\\
3x+5y-2z-9=0\\\\\\\
Substituindo!\\\\\\\\\
3x+5(2x+3)-2(3x-4)-9=0\\\\\\\
3x+10x+15-6x+8-9=0\\\\\\\
3x+10x-6x=-15-8+9\\\\\\\
13x-6x=-23+9\\\\\\
7x=-14\\\\\\
x= -\dfrac{14}{7}\\\\\\
\boxed{x=-2}](https://tex.z-dn.net/?f=y%3D2x%2B3%5C%5C%5C%5C%5C%5C%0Az%3D3x-4%5C%5C%5C%5C%5C%5C%0A3x%2B5y-2z-9%3D0%5C%5C%5C%5C%5C%5C%5C%0ASubstituindo%21%5C%5C%5C%5C%5C%5C%5C%5C%5C%0A3x%2B5%282x%2B3%29-2%283x-4%29-9%3D0%5C%5C%5C%5C%5C%5C%5C%0A3x%2B10x%2B15-6x%2B8-9%3D0%5C%5C%5C%5C%5C%5C%5C%0A3x%2B10x-6x%3D-15-8%2B9%5C%5C%5C%5C%5C%5C%5C%0A13x-6x%3D-23%2B9%5C%5C%5C%5C%5C%5C%0A7x%3D-14%5C%5C%5C%5C%5C%5C%0Ax%3D+-%5Cdfrac%7B14%7D%7B7%7D%5C%5C%5C%5C%5C%5C%0A%5Cboxed%7Bx%3D-2%7D+ "y=2x+3\\\\\\
z=3x-4\\\\\\
3x+5y-2z-9=0\\\\\\\
Substituindo!\\\\\\\\\
3x+5(2x+3)-2(3x-4)-9=0\\\\\\\
3x+10x+15-6x+8-9=0\\\\\\\
3x+10x-6x=-15-8+9\\\\\\\
13x-6x=-23+9\\\\\\
7x=-14\\\\\\
x= -\dfrac{14}{7}\\\\\\
\boxed{x=-2}")
Retomando as retas!
Boa noite!
Bons estudos!
Solução!
Vamos substituir as retas na equação do plano para determinarmos a terna.
Retomando as retas!
Boa noite!
Bons estudos!
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