Résous les équations suivantes :
a. 4(x + 5) = 10x + 3
b. 3(x – 2) = 6(x + 4)
c. 7x – (5x + 3) = 5(x – 3) + 2
d. 7(n + 2) – 3 = 25 – (3n + 4)
e. 4y + 3(4y – 2) = 3(y + 1)
Merci ! :D
a.
4(x + 5) = 10x + 3
4*x+4*5=10x+3
4x+20=10x+3
4x-10x=3-20
-6x=-17
x=-17/-6
x=17/6
b.
3(x – 2) = 6(x + 4)
3*x+3*(-2)=6*x+6*4
3x-6=6x+24
3x-6x=24+6
-3x=30
x=30/-3
x=-10
c.
7x – (5x + 3) = 5(x – 3) + 2
7x-5x-3=5*x+5*(-3)+2
2x-3=5x-15+2
2x-5x=-15+2+3
-3x=-10
x=-10/-3
x=10/3
d.
7(n + 2) – 3 = 25 – (3n + 4)
7*n+7*2-3=25-3n-4
7n+14-3=25-3n-4
7n+3n=25-4-14+3
10n=10
n=10/10
n=1
e.
4y + 3(4y – 2) = 3(y + 1)
4y+3*4y+3*(-2)=3*y+3*1
4y+12y-6=3y+3
4y+12y-3y=3+6
13y=9
y=9/13