Rozwiąż równania : [latex]frac{x+10}{8} + frac{x-5}{3} = frac{3}{5} [/latex] [latex] frac{7x-6}{5} -(2x+8)=2013[/latex]

Rozwiąż równania : [latex]frac{x+10}{8} + frac{x-5}{3} = frac{3}{5} [/latex] [latex] frac{7x-6}{5} -(2x+8)=2013[/latex]
Odpowiedź

[latex]frac{x+10}{8} + frac{x-5}{3} = frac{3}{5} /*120\\15(x + 10) + 40(x - 5) = 24 * 5\\15x + 150 + 40x - 200 = 72\\55x = 122\\x = 2frac{12}{55}\\\\frac{7x-6}{5} - (2x + 8) = 2013 /*5\\7x - 6 - 5(2x + 8) = 2013 8 5\\7x - 6 - 10x - 40 = 10065\\-3x = 10111 /:(-3)\\x = -frac{1011}{3}\\x = -3370frac{1}{3}[/latex]

[latex]frac{x+10}{8} + frac{x-5}{3} = frac{3}{5}/*120\ \15(x+10)+40(x-5)=3*24\ \15x+150+40x-200=72\ \55x=72+50[/latex] [latex]55x=122/:55\ \x=frac{122}55{}\ \x=2frac{12}{55}[/latex] ============================= [latex]frac{7x-6}{5} -(2x+8)=2013/*5\ \7x-6-5(2x+8)=10065\ \7x-6-10x-40=10065\ \-3x=10065+46\ \-3x=10111/:(-3)[/latex] [latex]x=frac{10111}{-3}\ \x=-3370frac{1}{3}[/latex]

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