Question

verificar y resolver las siguientes ecuaciones
A 6x-2.(x+4)=-100:4+x+2
B 5.(x-2)-3.+2x-4) =5x-5
c 4.(-x-3(+3=-3.(x-2)
d -2.(x-4(=-3.(X-1) D 8X-14+8=6X-2
E 15X+3.(X-1)=16X+3​

Answer 1

Respuesta:

A) 6x-2.(x+4) = -100:4+x+2

• 6x-2x-8 = -25+x+2
• 6x-2x-x = -25+2+8
• 3x = -15
• x = -15÷ 3
• x = -5

Verificar:

6 × (-5)-2 × (-5+4) = -100 :4+(-5)+2

• 6 × (-5)-2 × (-1) = -100:4 + (-5)+2
• -30+2 = -25+(-5)+2
• -28 = -28 : valor x=-5.

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

• 5x-10-3+2x-4 = 5x-5
• 5x+2x-5x = -5+10+3+4
• 2x = 12
• x= 12 ÷ 2
• x=6

Verificar:

5.(6-2)-3+2×6-4= 5×6-5

• 5·4 -3+12-4=30-5

• 20-3+12-4 =30-5

• 25 =25: valor de x=6.

C) 4.(-x-3)+3= -3.(x-2)

• -4x-12+3=-3x+6
• -4x+3x =+6+12-3
• -1x = 15
• x= 15 ÷ (-1)
• x=-15

Verificar:

4.(15-3)+3=-3.(-15-2)

• 4.(12)+3=-3.(-17)

• +51 = +51: valor de x=-15.

D) -2.(x-4)= -3.(x-1)

• -2x+8 = -3x+3
• -2x+3x =+3-8
• 1x =-5
• x=-5 ÷ 1
• x= -5

Verificar:

-2.(-5-4) =-3.(-5-1)

• -2.(-9) = -3. (-6)

• +18 = +18: valor de x=-5.

E) 8x-14+8=6x-2

• 8x-6x =-2+14-8
• 2x = 4
• x= 4 ÷ 2
• x= 2

Verificar:

8 × 2-14+8 = 6×2-2

• 16-14+8=12-2

• 10 = 10: valor de x=2.

F) 15x+3.(x-1) = 16x+3

• 15x+3x-3 = 16x+3

• 15x+3x-16x = +3+3
• 2x =6
• x=6÷2
• x=3.

Verificar:

• 15×3+3.(3-1) =16×3+3

• 45+6 = 48+3

• 51 = 51: valor de x=3.