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2) ![frac{10-y}{6} + frac{3y+8}{3} = frac{y+6}{2} frac{10-y}{6} + frac{3y+8}{3} = frac{y+6}{2}](https://tex.z-dn.net/?f=+frac%7B10-y%7D%7B6%7D+%2B+frac%7B3y%2B8%7D%7B3%7D+%3D+frac%7By%2B6%7D%7B2%7D+)
![frac{10-y}{6} + frac{2(3y+8)}{6} = frac{3(y+6)}{6} frac{10-y}{6} + frac{2(3y+8)}{6} = frac{3(y+6)}{6}](https://tex.z-dn.net/?f=+frac%7B10-y%7D%7B6%7D+%2B+frac%7B2%283y%2B8%29%7D%7B6%7D+%3D+frac%7B3%28y%2B6%29%7D%7B6%7D+)
10-y+6у+16=3у+18
5у-3у=18-10-16
2у=-8
у=-8:2
у=-4
Проверка:
![frac{10-(-4)}{6} + frac{3*(-4)+8}{3} = frac{-4+6}{2}
frac{10-(-4)}{6} + frac{3*(-4)+8}{3} = frac{-4+6}{2}](https://tex.z-dn.net/?f=+frac%7B10-%28-4%29%7D%7B6%7D+%2B+frac%7B3%2A%28-4%29%2B8%7D%7B3%7D+%3D+frac%7B-4%2B6%7D%7B2%7D+%0A)
![frac{14}{6} + frac{-4}{3} = frac{2}{2} frac{14}{6} + frac{-4}{3} = frac{2}{2}](https://tex.z-dn.net/?f=+frac%7B14%7D%7B6%7D+%2B+frac%7B-4%7D%7B3%7D+%3D+frac%7B2%7D%7B2%7D+)
![frac{14}{6} - frac{8}{6} = 1 frac{14}{6} - frac{8}{6} = 1](https://tex.z-dn.net/?f=+frac%7B14%7D%7B6%7D+-+frac%7B8%7D%7B6%7D+%3D+1+)
![frac{6}{6} = 1 frac{6}{6} = 1](https://tex.z-dn.net/?f=+frac%7B6%7D%7B6%7D+%3D+1)
1=1
4)![frac{5-9x}{8} - frac{3+5x}{4} = frac{5-3x}{2} frac{5-9x}{8} - frac{3+5x}{4} = frac{5-3x}{2}](https://tex.z-dn.net/?f=+frac%7B5-9x%7D%7B8%7D+-+frac%7B3%2B5x%7D%7B4%7D+%3D+frac%7B5-3x%7D%7B2%7D+)
![frac{5-9x}{8} - frac{2(3+5x)}{8} = frac{4(5-3x)}{8} frac{5-9x}{8} - frac{2(3+5x)}{8} = frac{4(5-3x)}{8}](https://tex.z-dn.net/?f=+frac%7B5-9x%7D%7B8%7D+-+frac%7B2%283%2B5x%29%7D%7B8%7D+%3D+frac%7B4%285-3x%29%7D%7B8%7D+)
5-9х-6-10х=20-12х
12х-19х=20+6-5
-7х=21
х=21:(-7)
х=-3
Проверка:
![frac{5-9*(-3)}{8} - frac{3+5*(-3)}{4} = frac{5-3*(-3)}{2} frac{5-9*(-3)}{8} - frac{3+5*(-3)}{4} = frac{5-3*(-3)}{2}](https://tex.z-dn.net/?f=+frac%7B5-9%2A%28-3%29%7D%7B8%7D+-+frac%7B3%2B5%2A%28-3%29%7D%7B4%7D+%3D+frac%7B5-3%2A%28-3%29%7D%7B2%7D+)
![frac{5+27}{8} - frac{3-15}{4} = frac{5+9}{2} frac{5+27}{8} - frac{3-15}{4} = frac{5+9}{2}](https://tex.z-dn.net/?f=+frac%7B5%2B27%7D%7B8%7D+-+frac%7B3-15%7D%7B4%7D+%3D+frac%7B5%2B9%7D%7B2%7D+)
![frac{32}{8} - frac{-12}{4} = frac{14}{2} frac{32}{8} - frac{-12}{4} = frac{14}{2}](https://tex.z-dn.net/?f=+frac%7B32%7D%7B8%7D+-+frac%7B-12%7D%7B4%7D+%3D+frac%7B14%7D%7B2%7D+)
4+3=7
7=7
10-y+6у+16=3у+18
5у-3у=18-10-16
2у=-8
у=-8:2
у=-4
Проверка:
1=1
4)
5-9х-6-10х=20-12х
12х-19х=20+6-5
-7х=21
х=21:(-7)
х=-3
Проверка:
4+3=7
7=7
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