Question

B) determine o valor de cada incógnita mas proporções a seguir
X+7/4=11-x/2

Answer 1

$\Large\boxed{\begin{array}{l}\sf x+\dfrac{7}{4}=11-\dfrac{x}{2}\\\underline{\rm multiplicando~a~equac_{\!\!,}\tilde ao~por~4~temos:}\\\sf 4x+7=44-2x\\\sf 4x+2x=44-7\\\sf 6x=37\\\sf x=\dfrac{37}{6}\end{array}}$

Answer 2

Resposta:

$\frac{x+7}{4}=\\\\=\frac{x}{4}\\\\\mathrm{Multiplicar\:}4\mathrm{\:por\:}\frac{x}{4}:\:x\\\\\mathrm{Subtrair\:}x\mathrm{\:de\:}x+7\mathrm{\:para\:obter\:um\:novo\:resto}\\\\\mathrm{Resto}=7\\\\\mathrm{Portanto}\\\\\frac{x+7}{4}=\frac{x}{4}+\frac{7}{4}\\\\=\frac{x}{4}+\frac{7}{4}\\\\=\frac{7}{4}\\\\\mathrm{Multiplicar\:}4\mathrm{\:por\:}\frac{7}{4}:\:7\\\\\mathrm{Subtrair\:}7\mathrm{\:de\:}7\mathrm{\:para\:obter\:um\:novo\:resto}\\\\\mathrm{Resto}=0\\\\\mathrm{Portanto}$

$\frac{7}{4}=\frac{7}{4}\\\\=\frac{x}{4}+\frac{7}{4}$

$\frac{11-x}{2}\\\\=-\frac{x}{2}\\\\\mathrm{Multiplicar\:}2\mathrm{\:por\:}-\frac{x}{2}:\:-x\\\\\mathrm{Subtrair\:}-x\mathrm{\:de\:}-x+11\mathrm{\:para\:obter\:um\:novo\:resto}\\\\\mathrm{Resto}=11\\\\\mathrm{Portanto}\\\\\frac{-x+11}{2}=-\frac{x}{2}+\frac{11}{2}\\\\=-\frac{x}{2}+\frac{11}{2}\\\\=\frac{11}{2}\\\\\mathrm{Multiplicar\:}2\mathrm{\:por\:}\frac{11}{2}:\:11\\\\\mathrm{Subtrair\:}11\mathrm{\:de\:}11\mathrm{\:para\:obter\:um\:novo\:resto} \\\\\mathrm{Resto}=0$

$\mathrm{Portanto}\\\\\frac{11}{2}=\frac{11}{2}\\\\=-\frac{x}{2}+\frac{11}{2}$