Question

exercițiul 19 va rog sa ma ajutați

Answer 1

[tex]1,1*(\overline{1,x2}+\overline{2,1x}+\overline{x,21})=3,7*(x-\overline{3,x})\\ \frac{11}{10}*(\frac{\overline{1x2}}{100}+\frac{\overline{21x}}{100}+\frac{\overline{x21}}{100})= \frac{37}{10}*(x-\frac{\overline{3x}}{10})\\ \\ \frac{11}{10}*(\frac{100+10x+2}{100}+\frac{210+x}{100}+\frac{100x+21}{100})=\frac{37}{10}*\frac{10x-30-x}{10}\\ \\ \frac{11}{10}*\frac{333+111x}{100}=\frac{37(9x-30)}{100}|*100\\ \\ \frac{11*111(x+3)}{10}=37*3(3x-10)\\ \frac{11*111(x+3)}{10}=111(3x-10)|:111\\ [/tex]
[tex] \frac{11(x+3)}{10}=3x-10|*10 11(x+3)=30x-100\\ 11x+33=30x-100\\ 19x=133 \Rightarrow x=7 [/tex]