Question

QUESTÃO 04: Revolva as equações:

A) 13.(2-3x)-5.(2-x)=5.(-3+6x)
B) 2.(2x+7)+3.(3x-5)=3.(4x+5)-1
C) 3-7(1-2x)=5-(x+9)
D) (1+3x)-(1-2x)+(-11-7x)=5
E) 2.(1-5y)+3.(-1-y)-4.(-7+2y)=-y
F) x-3.(4-x)=7x-(1-x) ​

Answer 1

Resposta passo a passo:

A) 13.(2-3x)-5.(2-x)=5.(-3+6x)

13.2-13.3x-5.2-5.(-x)=5.(-3)+5.6x

26-39x-10-5.(-x)=-15+30x

26-39x-10+5x=-15+30x

16-39x+5x=-15+30x

16+15=30x+39x-5x

31=69x-5x

31=64x

64x=31

x=31/64

B) 2.(2x+7)+3.(3x-5)=3.(4x+5)-1

2.2x+2.7+3.3x-3.5=3.4x+3.5-1

4x+14+9x-15=12x+15-1

4x+14+9x-15=12x+14

4x+9x-15=12x

13x-15=12x

13x-12x=15

x=15

C) 3-7(1-2x)=5-(x+9)

3-7.1-7.(-2x)=5-x-9

3-7-7.(-2x)=-x-4

3-7+14x=-x-4

-7+14x=-x-4-3

-7+14x=-x-7

14x=-x

14x+x=0

15x=0

x=0/15

x=0

D) (1+3x)-(1-2x)+(-11-7x)=5

1+3x-1+2x-11-7x=5

3x+2x-11-7x=5

3x+2x-7x=5+11

5x-7x=16

-2x=16

x=16/-2

x=-8

E) 2.(1-5y)+3.(-1-y)-4.(-7+2y)=-y

2.1-2.5y+3.(-1)-3.y-4.(-7)-4.2y=-y

2-10y-3-3y+28-8y=-y

-10y-3y-8y+27=-y

-(10+3+8)y+27=-y

-21y+27=-y

27=21y-y

27=20y

20y=27

y=27/20

F) x-3.(4-x)=7x-(1-x)

x-3.4-3.(-x)=7x-1+x

x-12-3.(-x)=8x-1

x-12+3x=8x-1

x+3x-8x=12-1

4x-8x=11

-4x=11

x=11/-4

x=-11/4