найдите координаты точки (В) пересечения графиков функций!!!!!!!!!!
1)у=5х-3 и у=3х+1
2)у=-4х+3 и у=1/2х+3
3)у=-2х-10 и у=-х-7
4)у=0,5х+4 и у=2х+4
Ответы
Ответ дал:
88
1)
и ![y=3x+1 y=3x+1](https://tex.z-dn.net/?f=y%3D3x%2B1)
![5x-3=3x+1 5x-3=3x+1](https://tex.z-dn.net/?f=5x-3%3D3x%2B1)
![5x-3x=1+3 5x-3x=1+3](https://tex.z-dn.net/?f=5x-3x%3D1%2B3)
![2x=4 2x=4](https://tex.z-dn.net/?f=2x%3D4)
![x=2 x=2](https://tex.z-dn.net/?f=x%3D2)
![y=3*2+1=7 y=3*2+1=7](https://tex.z-dn.net/?f=y%3D3%2A2%2B1%3D7)
![B(2;7) B(2;7)](https://tex.z-dn.net/?f=B%282%3B7%29)
2)
и ![y= \frac{1}{2} x+3 y= \frac{1}{2} x+3](https://tex.z-dn.net/?f=y%3D+%5Cfrac%7B1%7D%7B2%7D+x%2B3)
![-4x+3=\frac{1}{2} x+3 -4x+3=\frac{1}{2} x+3](https://tex.z-dn.net/?f=-4x%2B3%3D%5Cfrac%7B1%7D%7B2%7D+x%2B3)
![-4x-\frac{1}{2} x=3-3 -4x-\frac{1}{2} x=3-3](https://tex.z-dn.net/?f=-4x-%5Cfrac%7B1%7D%7B2%7D+x%3D3-3)
![-4.5x=0 -4.5x=0](https://tex.z-dn.net/?f=-4.5x%3D0)
![x=0 x=0](https://tex.z-dn.net/?f=x%3D0)
![y=-4*0+3=3 y=-4*0+3=3](https://tex.z-dn.net/?f=y%3D-4%2A0%2B3%3D3)
![B(0;3) B(0;3)](https://tex.z-dn.net/?f=B%280%3B3%29)
3)
и ![y=-x-7 y=-x-7](https://tex.z-dn.net/?f=y%3D-x-7)
![-2x-10=-x-7 -2x-10=-x-7](https://tex.z-dn.net/?f=-2x-10%3D-x-7)
![-2x+x=10-7 -2x+x=10-7](https://tex.z-dn.net/?f=-2x%2Bx%3D10-7)
![-x=3 -x=3](https://tex.z-dn.net/?f=-x%3D3)
![x=-3 x=-3](https://tex.z-dn.net/?f=x%3D-3)
![y=-(-3)-7=-4 y=-(-3)-7=-4](https://tex.z-dn.net/?f=y%3D-%28-3%29-7%3D-4)
![B(-3;-4) B(-3;-4)](https://tex.z-dn.net/?f=B%28-3%3B-4%29)
4)
и ![y=2x+4 y=2x+4](https://tex.z-dn.net/?f=y%3D2x%2B4)
![0.5x+4=2x+4 0.5x+4=2x+4](https://tex.z-dn.net/?f=0.5x%2B4%3D2x%2B4)
![0.5x-2x=4-4 0.5x-2x=4-4](https://tex.z-dn.net/?f=0.5x-2x%3D4-4)
![-1.5x=0 -1.5x=0](https://tex.z-dn.net/?f=-1.5x%3D0)
![x=0 x=0](https://tex.z-dn.net/?f=x%3D0)
![y=2*0+4=4 y=2*0+4=4](https://tex.z-dn.net/?f=y%3D2%2A0%2B4%3D4)
2)
3)
4)
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