1)Resolva as seguintes equações:
a) 7(x - 5) = 3 (x + 1)
b) 3 ( x - 2 ) = 4 (-x + 3)
c) 2 (x +1) - (x -1) = 0
d) 5(x + 1) -3 (x +2) = 0
e) 13 + 4(2x -1) = 5 (x +2)
f) 4(x + 5) + 3 (x +5)= 21
g) 2 (x +5 ) - 3 (5 - x) =10
h) 8 ( x -1) = 8 -4(2x - 3)
Soluções para a tarefa
Resposta:
a ) 7(x -5) = 3( x +1)
7x -35 = 3x +3
7x -3x = +13 +35
4x =×48
x= 48/4
x= 12
b) 3(x -2) = 4 (-x +3)
3x -6 = -4x +12
3x + 4x = +12 +6
7x = 18
x= 187
c ) 2x ( c + 1 ) -(x -1) = 0
2x + 2 -x+1 =0
2x +2 -x +1 <0
+x +3 =0
x = 3
d) 5 (x + 1) -3 (x+ 2)= 0
5x + 5 -3x -6= 0
5x -3x = -5
2x = 5
x = 5/2
e) 13 +4(2x -1) = 5(x + 2)
13 +8x -4 = 5x +10
8x -5x = + 10-4 -13
3x = -7
x = -7/3
f) 4(x+5) +3( x +5) = 21
4x +20+3x +15 =21
4x +3x = +21-20+16
7x = 16
x= 16/7
g ) 2(x +5) -3 (5-x)= 10
2x +10 -15 +3x=10
2x +3x =10-10!15
5x = -15
x= -15/5
x= -3
h) 8(x -1) = 8 -4(2x-3)
8x -8 = 8 -8x -12
8x 8x = 8 - 12 +8
16x = 12
x= 12/16
x = 3/4
Resposta:
a)
7(x-5)=3(x+1)
7x-35 = 3x+3
7x-3x=3+35
4x=38 x=9,5
b)
3x-3 = -4x+12
3x+4x = 12+3
7x=15 x=15/7 x= 2,14
c) X = 3
d) 5x+5 -3x-6 = 0
2x= 0 +6 -5
2x = 1
x=1/2 x= 0,5
e) 13+ 8x- 4 = 5x+10
8x-5x = 10 +9
3x = 19 x=19/3 x=6,33
f) 4x+20 +3x +15 = 21
7x = 21 -35 =
7x = -14 .(-1)
x = 14/7 x= 2
g) 2x + 10 - 15 +3x = 10
5x = 10 + 15 -10
5x = 15 x=15/5 x= 3
h) 8x-8 = 8-8x + 12
8x+8x = 20 + 8
16x = 28 x=28/16 x= 1,75
Explicação passo-a-passo: