Решите уравнение:
а) (14+2х)+(3х-11)=-2
б) (9-4х)-(2х-3)=6
в) 4х(х-5)-2х(2х-5)=20
г)3-2y/5+y/4=0
Ответы
Ответ дал:
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1. ![2x+3x+3=-2 2x+3x+3=-2](https://tex.z-dn.net/?f=2x%2B3x%2B3%3D-2)
![5x+3=-2 5x+3=-2](https://tex.z-dn.net/?f=5x%2B3%3D-2)
![5x=-3-2 5x=-3-2](https://tex.z-dn.net/?f=5x%3D-3-2)
![5x=-5 5x=-5](https://tex.z-dn.net/?f=5x%3D-5)
![frac{5x}{5} =- frac{5}{5} frac{5x}{5} =- frac{5}{5}](https://tex.z-dn.net/?f=+frac%7B5x%7D%7B5%7D+%3D-+frac%7B5%7D%7B5%7D+)
![x=- frac{5}{5} x=- frac{5}{5}](https://tex.z-dn.net/?f=x%3D-+frac%7B5%7D%7B5%7D+)
![x=-1*1 x=-1*1](https://tex.z-dn.net/?f=x%3D-1%2A1)
![x=-1 x=-1](https://tex.z-dn.net/?f=x%3D-1)
2.![9-4x+(-2x+3)=6 9-4x+(-2x+3)=6](https://tex.z-dn.net/?f=9-4x%2B%28-2x%2B3%29%3D6)
![9-4x-2x+3=6 9-4x-2x+3=6](https://tex.z-dn.net/?f=9-4x-2x%2B3%3D6)
![-4x-2x+12=6 -4x-2x+12=6](https://tex.z-dn.net/?f=-4x-2x%2B12%3D6)
![-6x+12=6 -6x+12=6](https://tex.z-dn.net/?f=-6x%2B12%3D6)
![-6x=-12+6
-6x=-12+6](https://tex.z-dn.net/?f=-6x%3D-12%2B6%0A)
![-6x=-6 -6x=-6](https://tex.z-dn.net/?f=-6x%3D-6)
![- frac{6x}{-6} =- frac{6}{-6} - frac{6x}{-6} =- frac{6}{-6}](https://tex.z-dn.net/?f=-+frac%7B6x%7D%7B-6%7D+%3D-+frac%7B6%7D%7B-6%7D+)
![x=- frac{6}{-6} x=- frac{6}{-6}](https://tex.z-dn.net/?f=x%3D-+frac%7B6%7D%7B-6%7D+)
![x=1 x=1](https://tex.z-dn.net/?f=x%3D1)
3.![4x^{2} -20x+(-4x^2+10x)=20 4x^{2} -20x+(-4x^2+10x)=20](https://tex.z-dn.net/?f=+4x%5E%7B2%7D+-20x%2B%28-4x%5E2%2B10x%29%3D20)
![4x^2-20x-4x^2+10x=20 4x^2-20x-4x^2+10x=20](https://tex.z-dn.net/?f=4x%5E2-20x-4x%5E2%2B10x%3D20)
![-20x+0+10x=20 -20x+0+10x=20](https://tex.z-dn.net/?f=-20x%2B0%2B10x%3D20)
![-20x+10x=20 -20x+10x=20](https://tex.z-dn.net/?f=-20x%2B10x%3D20)
![-10x=20 -10x=20](https://tex.z-dn.net/?f=-10x%3D20)
![- frac{10x}{-10} = frac{20}{-10} - frac{10x}{-10} = frac{20}{-10}](https://tex.z-dn.net/?f=-+frac%7B10x%7D%7B-10%7D+%3D+frac%7B20%7D%7B-10%7D+)
![x= frac{20}{-10} x= frac{20}{-10}](https://tex.z-dn.net/?f=x%3D+frac%7B20%7D%7B-10%7D+)
![x=-2 x=-2](https://tex.z-dn.net/?f=x%3D-2)
4.![3- frac{2y}{5} + frac{y}{4} =0 3- frac{2y}{5} + frac{y}{4} =0](https://tex.z-dn.net/?f=3-+frac%7B2y%7D%7B5%7D+%2B+frac%7By%7D%7B4%7D+%3D0)
![3+(- frac{2y}{5} * frac{4}{4} + frac{y}{4} )=0 3+(- frac{2y}{5} * frac{4}{4} + frac{y}{4} )=0](https://tex.z-dn.net/?f=3%2B%28-+frac%7B2y%7D%7B5%7D+%2A+frac%7B4%7D%7B4%7D+%2B+frac%7By%7D%7B4%7D+%29%3D0)
![3+(- frac{2y}{5} * frac{4}{4} + frac{y}{4} * frac{5}{5} )=0 3+(- frac{2y}{5} * frac{4}{4} + frac{y}{4} * frac{5}{5} )=0](https://tex.z-dn.net/?f=3%2B%28-+frac%7B2y%7D%7B5%7D+%2A+frac%7B4%7D%7B4%7D+%2B+frac%7By%7D%7B4%7D+%2A+frac%7B5%7D%7B5%7D+%29%3D0)
![3+(- frac{2y*4}{20} + frac{y*5}{20} )=0 3+(- frac{2y*4}{20} + frac{y*5}{20} )=0](https://tex.z-dn.net/?f=3%2B%28-+frac%7B2y%2A4%7D%7B20%7D+%2B+frac%7By%2A5%7D%7B20%7D+%29%3D0)
![3+ frac{-(2y*4)+y*5}{20} =0 3+ frac{-(2y*4)+y*5}{20} =0](https://tex.z-dn.net/?f=3%2B+frac%7B-%282y%2A4%29%2By%2A5%7D%7B20%7D+%3D0)
![3- frac{3y}{20} =0 3- frac{3y}{20} =0](https://tex.z-dn.net/?f=3-++frac%7B3y%7D%7B20%7D+%3D0)
![- frac{3y}{20} =-3 - frac{3y}{20} =-3](https://tex.z-dn.net/?f=-+frac%7B3y%7D%7B20%7D+%3D-3)
![-3y=-3*20 -3y=-3*20](https://tex.z-dn.net/?f=-3y%3D-3%2A20)
![-3y=-60 -3y=-60](https://tex.z-dn.net/?f=-3y%3D-60)
![- frac{3y}{-3}=- frac{60}{-3} - frac{3y}{-3}=- frac{60}{-3}](https://tex.z-dn.net/?f=-+frac%7B3y%7D%7B-3%7D%3D-++frac%7B60%7D%7B-3%7D+)
![y=- frac{60}{-3} y=- frac{60}{-3}](https://tex.z-dn.net/?f=y%3D-+frac%7B60%7D%7B-3%7D+)
![y=20 y=20](https://tex.z-dn.net/?f=y%3D20)
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