QUESTÃO 01: Resolva as equações abaixo:
A) 5.(2x+7)-1=4.(x-5)+9
B) 2.(x-1)+3.(x+1)=4.(x+2)
C) 2.(x+1)+5(x-1)=7
D) 2.(2x+3)+5.(x+1)=8-3(x-1)
A) 5.(2x+7)-1=4.(x-5)+9
B) 2.(x-1)+3.(x+1)=4.(x+2)
C) 2.(x+1)+5(x-1)=7
D) 2.(2x+3)+5.(x+1)=8-3(x-1)
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Resposta passo a passo:
A) 5.(2x+7)-1=4.(x-5)+9
5.2x+5.7-1=4.x-4.5+9
10x+35-1=4x-20+9
10x+34=4x-11
10x-4x=-11-34
6x=-45
x=-45/6
x=-7,5
B) 2.(x-1)+3.(x+1)=4.(x+2)
2.x-2.1+3.x+3.1=4.x+4.2
2x-2+3x+3=4x+8
5x-2+3=4x+8
5x+1=4x+8
5x-4x=8-1
x=7
C) 2.(x+1)+5(x-1)=7
2.x+2.1+5.x-5.1=7
2x+2+5x-5=7
2x+5x=7-2+5
7x=5+5
7x=10
x=10/7
D) 2.(2x+3)+5.(x+1)=8-3(x-1)
2.2x+2.3+5.x+5.1=8-3.x-3.(-1)
4x+6+5x+5=8-3x-3.(-1)
9x+6+5=8-3x+3
9x+11=-3x+11
9x+3x=11-11
12x=0
x=0/12
x=0