se a+b=75 e c+a=148 qual o valor de a+b+c
Anônimo:
Você possui três variáveis e duas equações, é necessário mais uma equação para resolver esse problema.
o valor de a+b+c+d
se a+b e c+a=148 qual o valor de a+b+c+d
se a+b=75 e c+a =148 qual o valor de a+b+c+d
Me responda a última por favor
Com o D?
Respostas
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Olá.
![\mathsf{(75-b)+b+(148-a)=0}}\\\mathsf{(75-b)+b+[148-(75-b)]=0}\\\mathsf{75-b+b+148-75+b=0}\\\mathsf{148+b=0}\\\mathsf{b=-148}\\\\\\\\
\mathsf{a+b=75}\\\mathsf{a+(-148)=75}\\\mathsf{a-148=75}\\\mathsf{a=75+148}\\\mathsf{a=223}\\\\\\\\
\mathsf{c+a=148}\\\mathsf{c+223=148}\\\mathsf{c=148-223}\\\mathsf{c=-75}\\\\\\\\\mathsf{a+b+c=223+(-148)+(-75)=223-223=\boxed{\mathsf{0}}}](https://tex.z-dn.net/?f=%5Cmathsf%7B%2875-b%29%2Bb%2B%28148-a%29%3D0%7D%7D%5C%5C%5Cmathsf%7B%2875-b%29%2Bb%2B%5B148-%2875-b%29%5D%3D0%7D%5C%5C%5Cmathsf%7B75-b%2Bb%2B148-75%2Bb%3D0%7D%5C%5C%5Cmathsf%7B148%2Bb%3D0%7D%5C%5C%5Cmathsf%7Bb%3D-148%7D%5C%5C%5C%5C%5C%5C%5C%5C%0A%5Cmathsf%7Ba%2Bb%3D75%7D%5C%5C%5Cmathsf%7Ba%2B%28-148%29%3D75%7D%5C%5C%5Cmathsf%7Ba-148%3D75%7D%5C%5C%5Cmathsf%7Ba%3D75%2B148%7D%5C%5C%5Cmathsf%7Ba%3D223%7D%5C%5C%5C%5C%5C%5C%5C%5C%0A%5Cmathsf%7Bc%2Ba%3D148%7D%5C%5C%5Cmathsf%7Bc%2B223%3D148%7D%5C%5C%5Cmathsf%7Bc%3D148-223%7D%5C%5C%5Cmathsf%7Bc%3D-75%7D%5C%5C%5C%5C%5C%5C%5C%5C%5Cmathsf%7Ba%2Bb%2Bc%3D223%2B%28-148%29%2B%28-75%29%3D223-223%3D%5Cboxed%7B%5Cmathsf%7B0%7D%7D%7D "\mathsf{(75-b)+b+(148-a)=0}}\\\mathsf{(75-b)+b+[148-(75-b)]=0}\\\mathsf{75-b+b+148-75+b=0}\\\mathsf{148+b=0}\\\mathsf{b=-148}\\\\\\\\
\mathsf{a+b=75}\\\mathsf{a+(-148)=75}\\\mathsf{a-148=75}\\\mathsf{a=75+148}\\\mathsf{a=223}\\\\\\\\
\mathsf{c+a=148}\\\mathsf{c+223=148}\\\mathsf{c=148-223}\\\mathsf{c=-75}\\\\\\\\\mathsf{a+b+c=223+(-148)+(-75)=223-223=\boxed{\mathsf{0}}}")
Qualquer dúvida, deixe nos comentários.
Bons estudos.
Qualquer dúvida, deixe nos comentários.
Bons estudos.
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