2 – Resolva as equações:
a) 3(x − 2) = 4(−x + 3)
b) 2(x + 1) − (x − 1) = 0
c) 5(x + 1) − 3(x + 2) = 0
d) 13 + 4(2x − 1) = 5(x + 2)
e) 4(x + 5) + 3(x + 5) = 21
f) 2(x + 5) − 3(5 − x) = 10
g) 8(x − 1) = 8 − 4(2x − 3)
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Respostas
Resposta:Segue as respostas abaixo na explicação
Explicação passo-a-passo:
a) 3(x − 2) = 4(−x + 3) b) 2(x + 1) − (x − 1) = 0 c) 5(x + 1) − 3(x + 2) = 0
3x-6=-4x+12 2x+2-x+1=0 5x+5-3x-6=0
3x+4x=12+6 x+3=0 2x-1=0
7x=18 x=-3 2x=1
x=18/7 x=1/2
d) 13 + 4(2x − 1) = 5(x + 2) e) 4(x + 5) + 3(x + 5) = 21
13+8x-4=5x+10 4x+20+3x+15=21
8x+9=5x+10 7x+35=21
8x-5x=10-9 7x=21-35
3x=1 7x=-14
x=1/3 x=-14/7
x=-2
f) 2(x + 5) − 3(5 − x) = 10 g) 8(x − 1) = 8 − 4(2x − 3)
2x+10-15+3x=10 8x-8=8-8x+12
5x-5=10 8x-8=-8x+20
5x=10+5 8x+8x=20+8
5x=15 16x=28
x=15/5 x=28/16:4/4
x=3 x=7/4