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е) условие можно прочитать по-разному:
![5 - frac{1}{3x} - frac{1}{2} = frac{1}{4x} \ \
4 frac{1}{2} - frac{1}{3x} - frac{1}{4x} = 0 \ \
frac{9}{2} - frac{1}{3x} - frac{1}{4x} = 0 |*12x \ \
x neq 0 \ \
9 * 6x - 1*4 - 1*3 = 0*12x \ \
54x - 7 = 0 \ \
54x = 7 \ \
x = frac{7}{54} \ \](https://tex.z-dn.net/?f=+5++-++frac%7B1%7D%7B3x%7D+++-++frac%7B1%7D%7B2%7D++%3D++frac%7B1%7D%7B4x%7D++%5C++%5C+%0A4+frac%7B1%7D%7B2%7D+-++frac%7B1%7D%7B3x%7D++-++frac%7B1%7D%7B4x%7D++%3D+0+%5C++%5C+%0A+frac%7B9%7D%7B2%7D++-++frac%7B1%7D%7B3x%7D++-++frac%7B1%7D%7B4x%7D++%3D+0++++++%7C%2A12x+%5C++%5C+%0Ax+neq+0+%5C++%5C+%0A9+%2A+6x++-+1%2A4++-+1%2A3++%3D+0%2A12x+%5C++%5C+%0A54x+-+7++%3D+0+%5C++%5C+%0A54x+%3D+7+%5C++%5C+%0Ax+%3D++frac%7B7%7D%7B54%7D++%5C++%5C+%0A%0A%0A "5 - frac{1}{3x} - frac{1}{2} = frac{1}{4x} \ \
4 frac{1}{2} - frac{1}{3x} - frac{1}{4x} = 0 \ \
frac{9}{2} - frac{1}{3x} - frac{1}{4x} = 0 |*12x \ \
x neq 0 \ \
9 * 6x - 1*4 - 1*3 = 0*12x \ \
54x - 7 = 0 \ \
54x = 7 \ \
x = frac{7}{54} \ \")
![5 - frac{1}{3}x - frac{1}{2} = frac{1}{4}x \ \
4 frac{1}{2} - frac{1}{3}x = frac{1}{4}x \ \
- frac{1}{3}x - frac{1}{4}x = - 4 frac{1}{2} \ \
- frac{1*4 + 1*3}{12} x = - frac{9}{2} | * (-1)\ \
frac{7}{12} x = frac{9}{2} \ \
x = frac{9}{2} :frac{7}{12} = frac{9}{2} * frac{12}{7} = frac{9*6}{1*7} = frac{54}{7} \ \
x = 7 frac{5}{7} \ \](https://tex.z-dn.net/?f=+5++-++frac%7B1%7D%7B3%7Dx++-+frac%7B1%7D%7B2%7D++%3D++frac%7B1%7D%7B4%7Dx+%5C++%5C+%0A4+frac%7B1%7D%7B2%7D+-++frac%7B1%7D%7B3%7Dx++%3D++frac%7B1%7D%7B4%7Dx+%5C++%5C+%0A-++frac%7B1%7D%7B3%7Dx++-++frac%7B1%7D%7B4%7Dx++%3D++-+4+frac%7B1%7D%7B2%7D+%5C++%5C+%0A-++frac%7B1%2A4+%2B+1%2A3%7D%7B12%7D+x+%3D++-++frac%7B9%7D%7B2%7D++%7C+%2A+%28-1%29%5C++%5C+%0A+frac%7B7%7D%7B12%7D+x++%3D++frac%7B9%7D%7B2%7D++%5C++%5C+%0Ax+%3D+frac%7B9%7D%7B2%7D+%3Afrac%7B7%7D%7B12%7D++%3D++frac%7B9%7D%7B2%7D++%2A++frac%7B12%7D%7B7%7D++%3D++frac%7B9%2A6%7D%7B1%2A7%7D+%3D+frac%7B54%7D%7B7%7D++%5C++%5C+%0Ax+%3D+7+frac%7B5%7D%7B7%7D++%5C++%5C+ "5 - frac{1}{3}x - frac{1}{2} = frac{1}{4}x \ \
4 frac{1}{2} - frac{1}{3}x = frac{1}{4}x \ \
- frac{1}{3}x - frac{1}{4}x = - 4 frac{1}{2} \ \
- frac{1*4 + 1*3}{12} x = - frac{9}{2} | * (-1)\ \
frac{7}{12} x = frac{9}{2} \ \
x = frac{9}{2} :frac{7}{12} = frac{9}{2} * frac{12}{7} = frac{9*6}{1*7} = frac{54}{7} \ \
x = 7 frac{5}{7} \ \")
з)
![frac{x}{3} + frac{x}{2} = 6 |*6 \ \
2x + 3x = 6*6 \ \
5x = 36 \ \
x= 36 : 5 \ \
x =7,2](https://tex.z-dn.net/?f=+frac%7Bx%7D%7B3%7D++%2B+frac%7Bx%7D%7B2%7D++%3D++6+%7C%2A6+%5C++%5C+%0A2x+%2B+3x++%3D+6%2A6+%5C++%5C+%0A5x+%3D+36+%5C++%5C+%0Ax%3D+36+%3A+5++%5C++%5C+%0Ax+%3D7%2C2 "frac{x}{3} + frac{x}{2} = 6 |*6 \ \
2x + 3x = 6*6 \ \
5x = 36 \ \
x= 36 : 5 \ \
x =7,2")
з)
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