Bonsoir ^^
EX 33:
[tex]4(x+5)=10x+3 \\ \\ 4x + 20 = 10x + 3 \\ \\ 20 -3 = 10x -4x \\ \\ 17 = 6x \\ \\ x = \dfrac{6}{17} [/tex]
[tex]7x - (5x+3)=5(x-3)+2 \\ \\ 7x - 5x - 3 = 5x - 15 + 2 \\ \\ 7x - 5x - 5x = -15+2+3 \\ \\ -3x= -10 \\ \\ x = \dfrac{-10}{-3} \\ \\ x = \dfrac{10}{3} [/tex]
[tex]3(x-2)=6(x+4) \\ \\ 3x - 6 = 6x + 24 \\ \\ 3x - 6x = 24+6 \\ \\ -3x = 30 \\ \\ x = \dfrac{30}{-3} \\ \\ x = -10[/tex]
[tex]7(n+2) - 3 = 25-(3n+4) \\ \\ 7n+14 - 3 = 25 - 3n-4 \\ \\ 7n + 3n = 25 - 4 -14+3 \\ \\ 10n = 10 \\ \\ n= \dfrac{10}{10} \\ \\ n=1[/tex]
[tex]4y+ 3(4y-2) = 3(y+1) \\ \\ 4y + 12y - 6 = 3y + 3 \\ \\ 4y + 12y - 3y = 3 + 6 \\ \\ 13y = 9 \\ \\ y = \dfrac{9}{13} [/tex]
EX 32 :
[tex]2 +3x= 7 -3x \\ \\ 3x + 3x = 7 - 2 \\ \\ 6x = 5 \\ \\ x = \dfrac{5}{6} [/tex]
[tex]5 + 6x =-x - 9 \\ \\ 6x + x = - 9 - 5 \\ \\ 7x = - 14 \\ \\ x = \dfrac{-14}{7} \\ \\ x=-2[/tex]
[tex]11x+3=8x+7 \\ \\ 11x - 8x = 7 -3 \\ \\ 3x = 4 \\ \\ x= \dfrac{4}{3} [/tex]
[tex]5,5x+1,5=9x+6 \\ \\ 5,5x - 9x = 6 - 1,5 \\ \\ -3,5 = 4,5 \\ \\ x = \dfrac{4,5}{-3,5} [/tex]
[tex]7-3,3x=2x-9,7 \\ \\ -3,3-2x = -9,7-7 \\ \\ -5,3x = -16,7 \\ \\ x = \dfrac{16,7}{5,3} [/tex]
[tex]5,1 - x = -8x + 1,7 \\ \\ -x + 8x = 1,7-5,1 \\ \\ 7x = -3,4 \\ \\ x= \dfrac{-3,4}{7} [/tex]
Voilà ^^
