Question

10-x/2 -3x/2 =1/4 preciso de ajuda para resolver essa equaçao

Answer 1

$\dfrac{10-x}{2} - \dfrac{3x}{2}= \dfrac{1}{4} \\ \\ \\ \dfrac{10-x-3x}{2}= \dfrac{1}{4} \\ \\ \\ \dfrac{10-4x}{2}= \dfrac{1}{4} \\ \\ 4*(10-4x)=1*2 \\ \\ 40-16x=2 \\ \\ -16x= 2-40 \\ \\ \\ x= \dfrac{-38}{-16} \\ \\ \\ \boxed{x= \dfrac{19}{8} }$


verificação

$\dfrac{10-( \frac{19}{8})}{2} - \dfrac{3( \frac{19}{8}) }{2}= \dfrac{1}{4} \\ \\ \\ \dfrac{( \frac{80-19}{8})}{2} - \dfrac{( \frac{3*19}{8}) }{2}= \dfrac{1}{4} \\ \\ \\ \dfrac{( \frac{61}{8})}{2} - \dfrac{( \frac{57}{8}) }{2}= \dfrac{1}{4} \\ \\ \\ \dfrac{ 61}{16} - \dfrac{57 }{16}= \dfrac{1}{4} \\ \\ \\ \dfrac{ 61-57}{16}= \dfrac{1}{4} \\ \\ \\\dfrac{ 4}{16}= \dfrac{1}{4} \\ \\ \\ \dfrac{ 1}{4}= \dfrac{1}{4}\quad \checkmark$