Bonsoir, j'espère que tu vas bien ; je te mets les réponses ci-dessous :
a)
⇔
b)
c)
d)
e)
f)
g)
h)
i)
j)
k)
l)
m)
n)
Bonne soirée !
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Bonsoir, j'espère que tu vas bien ; je te mets les réponses ci-dessous :
a)![x+0.6=4.8 x+0.6=4.8](https://tex.z-dn.net/?f=x%2B0.6%3D4.8)
⇔![x=4.8-0.6 x=4.8-0.6](https://tex.z-dn.net/?f=x%3D4.8-0.6)
⇔![x=4.2 x=4.2](https://tex.z-dn.net/?f=x%3D4.2)
b)![-2+x=5 -2+x=5](https://tex.z-dn.net/?f=-2%2Bx%3D5)
⇔![x=5+2 x=5+2](https://tex.z-dn.net/?f=x%3D5%2B2)
⇔![x=7 x=7](https://tex.z-dn.net/?f=x%3D7)
c)![-2x=5 -2x=5](https://tex.z-dn.net/?f=-2x%3D5)
⇔![x=-\frac{5}{2} x=-\frac{5}{2}](https://tex.z-dn.net/?f=x%3D-%5Cfrac%7B5%7D%7B2%7D)
d)![-3+x=-9 -3+x=-9](https://tex.z-dn.net/?f=-3%2Bx%3D-9)
⇔![x=-9+3 x=-9+3](https://tex.z-dn.net/?f=x%3D-9%2B3)
⇔![x=-6 x=-6](https://tex.z-dn.net/?f=x%3D-6)
e)![-6x=-8 -6x=-8](https://tex.z-dn.net/?f=-6x%3D-8)
⇔![x=\frac{-8}{-6} x=\frac{-8}{-6}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B-8%7D%7B-6%7D)
⇔![x=\frac{4}{3} x=\frac{4}{3}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B4%7D%7B3%7D)
f)![4x+5=0 4x+5=0](https://tex.z-dn.net/?f=4x%2B5%3D0)
⇔![x=-\frac{5}{4} x=-\frac{5}{4}](https://tex.z-dn.net/?f=x%3D-%5Cfrac%7B5%7D%7B4%7D)
g)![9-3x=0 9-3x=0](https://tex.z-dn.net/?f=9-3x%3D0)
⇔![-3x=-9 -3x=-9](https://tex.z-dn.net/?f=-3x%3D-9)
⇔![x=3 x=3](https://tex.z-dn.net/?f=x%3D3)
h)![4+2x=10-4x 4+2x=10-4x](https://tex.z-dn.net/?f=4%2B2x%3D10-4x)
⇔![4+6x=10 4+6x=10](https://tex.z-dn.net/?f=4%2B6x%3D10)
⇔![6x=6 6x=6](https://tex.z-dn.net/?f=6x%3D6)
⇔![x=1 x=1](https://tex.z-dn.net/?f=x%3D1)
i)![9x-7=3-3x+8 9x-7=3-3x+8](https://tex.z-dn.net/?f=9x-7%3D3-3x%2B8)
⇔![12x-7=11 12x-7=11](https://tex.z-dn.net/?f=12x-7%3D11)
⇔![12x=18 12x=18](https://tex.z-dn.net/?f=12x%3D18)
⇔![x=\frac{3}{2} x=\frac{3}{2}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B3%7D%7B2%7D)
j)![3x+1=2x-2 3x+1=2x-2](https://tex.z-dn.net/?f=3x%2B1%3D2x-2)
⇔![x+1=-2 x+1=-2](https://tex.z-dn.net/?f=x%2B1%3D-2)
⇔![x=-3 x=-3](https://tex.z-dn.net/?f=x%3D-3)
k)![5x+10=3x+40 5x+10=3x+40](https://tex.z-dn.net/?f=5x%2B10%3D3x%2B40)
⇔![2x=30 2x=30](https://tex.z-dn.net/?f=2x%3D30)
⇔![x=15 x=15](https://tex.z-dn.net/?f=x%3D15)
l)![4+2x=20-8x 4+2x=20-8x](https://tex.z-dn.net/?f=4%2B2x%3D20-8x)
⇔![4+10x=20 4+10x=20](https://tex.z-dn.net/?f=4%2B10x%3D20)
⇔![10x=16 10x=16](https://tex.z-dn.net/?f=10x%3D16)
⇔![x=\frac{8}{5} x=\frac{8}{5}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B8%7D%7B5%7D)
m)![2(3x-1)-2x=7x+3 2(3x-1)-2x=7x+3](https://tex.z-dn.net/?f=2%283x-1%29-2x%3D7x%2B3)
⇔![4x-2=7x+3 4x-2=7x+3](https://tex.z-dn.net/?f=4x-2%3D7x%2B3)
⇔![-3x-2=3 -3x-2=3](https://tex.z-dn.net/?f=-3x-2%3D3)
⇔![-3x=5 -3x=5](https://tex.z-dn.net/?f=-3x%3D5)
⇔![x=-\frac{5}{3} x=-\frac{5}{3}](https://tex.z-dn.net/?f=x%3D-%5Cfrac%7B5%7D%7B3%7D)
n)![10x-5-3(2x+5)=-20 10x-5-3(2x+5)=-20](https://tex.z-dn.net/?f=10x-5-3%282x%2B5%29%3D-20)
⇔![4x-20=-20 4x-20=-20](https://tex.z-dn.net/?f=4x-20%3D-20)
⇔![4x=-20+20 4x=-20+20](https://tex.z-dn.net/?f=4x%3D-20%2B20)
⇔![4x=0 4x=0](https://tex.z-dn.net/?f=4x%3D0)
⇔![x=0 x=0](https://tex.z-dn.net/?f=x%3D0)
Bonne soirée !