Ответ:
Пошаговое объяснение:
[tex]1)\frac{8x+5,2}{2,4} =\frac{11}{2} \\ (8x+5,2)*2=11*2,4\\ 16x+10,4=26,4\\ 16x=26,4-10,4\\ 16x=16\\ x=16:16\\ x=1\\ \\ 2)\frac{4}{1,6} =\frac{7x-2}{10,4} \\ (7x-2)*1,6=10,4*4\\ 11,2x-3,2=41,6\\ 11,2x=41,6+3,2\\ 11,2x=44,8\\ x=44,8:11,2\\ x=4\\ \\ 3)\frac{x-0,2}{0,8} =\frac{4,2}{1,2}\\ (x-0,2)*1,2=4,2*0,8\\ 1,2x-0,24 =3,36\\ 1,2x=3,36+0,24\\ 1,2x=3,6\\ x=3,6:1,2\\ x=3\\ \\ 4)\frac{3x+0,8}{9,6} =\frac{4,8}{3,6} \\ (3x+0,8)*3,6=9,6*4,8\\ 10,8x+2,88=46,08\\ 10,8x=46,08-2,88\\ 10,8x=43,2\\ x=43,2:10,8\\ x=4[/tex]
[tex]5)\frac{5x+3}{9} =\frac{27}{13,5} \\ (5x+3)*13,5=27*9\\ 67,5x+40,5=243\\ 67,5x=243-40,5\\ 67,5x=202,5\\ x=202,5:67,5\\ x=3\\ \\ 6)\frac{8}{20}=\frac{28}{9x+7} \\ (9x+7)*8=28*20\\ 72x+56=560\\ 72x=560-56\\ 72x=504\\ x=504:72\\ x= 7[/tex]
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Ответ:
Пошаговое объяснение:
[tex]1)\frac{8x+5,2}{2,4} =\frac{11}{2} \\ (8x+5,2)*2=11*2,4\\ 16x+10,4=26,4\\ 16x=26,4-10,4\\ 16x=16\\ x=16:16\\ x=1\\ \\ 2)\frac{4}{1,6} =\frac{7x-2}{10,4} \\ (7x-2)*1,6=10,4*4\\ 11,2x-3,2=41,6\\ 11,2x=41,6+3,2\\ 11,2x=44,8\\ x=44,8:11,2\\ x=4\\ \\ 3)\frac{x-0,2}{0,8} =\frac{4,2}{1,2}\\ (x-0,2)*1,2=4,2*0,8\\ 1,2x-0,24 =3,36\\ 1,2x=3,36+0,24\\ 1,2x=3,6\\ x=3,6:1,2\\ x=3\\ \\ 4)\frac{3x+0,8}{9,6} =\frac{4,8}{3,6} \\ (3x+0,8)*3,6=9,6*4,8\\ 10,8x+2,88=46,08\\ 10,8x=46,08-2,88\\ 10,8x=43,2\\ x=43,2:10,8\\ x=4[/tex]
[tex]5)\frac{5x+3}{9} =\frac{27}{13,5} \\ (5x+3)*13,5=27*9\\ 67,5x+40,5=243\\ 67,5x=243-40,5\\ 67,5x=202,5\\ x=202,5:67,5\\ x=3\\ \\ 6)\frac{8}{20}=\frac{28}{9x+7} \\ (9x+7)*8=28*20\\ 72x+56=560\\ 72x=560-56\\ 72x=504\\ x=504:72\\ x= 7[/tex]