Question

8. Determine a raiz das seguintes equações do 1° grau com uma incógnita:
A) x/2 + 1 = x/5 + 1/4
B) x/4 + x/3 = x - 100
C) 2x/3 + 5x/6 = 1/2
D) x/5 = 21 - x/2
E) 4/5 + 3x/4 = 1/10 + x
F) 1/6 - x/2 = -2x/3 + 1/4

Answer 1

Resposta:

A) $\left(\frac{x}{2}\right)+1=\frac{x}{5}+\frac{1}{4}\quad :\quad x=-\frac{5}{2}\quad \left(\mathrm{Decimal}:\quad x=-2.5\right)$

B)  $\frac{x}{4}+\frac{x}{3}=x-100\quad :\quad x=240$

C) $\frac{\left(2x\right)}{3}+\frac{\left(5x\right)}{6}=\frac{1}{2}\quad :\quad x=\frac{1}{3}\quad \left(\mathrm{Decimal}:\quad x=0.33333\dots \right)$

D) $\frac{x}{5}=21-\left(\frac{x}{2}\right)\quad :\quad x=30$

E) $\frac{4}{5}+\frac{\left(3x\right)}{4}=\left(\frac{1}{10}\right)+x\quad :\quad x=\frac{14}{5}\quad \left(\mathrm{Decimal}:\quad x=2.8\right)$

F) $\frac{1}{6}-\frac{x}{2}=\left(-\frac{2x}{3}\right)+\left(\frac{1}{4}\right)\quad :\quad x=\frac{1}{2}\quad \left(\mathrm{Decimal}:\quad x=0.5\right)$

Answer 2

Resposta:

a) 10x+20=4x+5

10x-4x=-20+5

x=-15/6

b) x/4+x/3=x-100

m.m.c

3x+4x=12x-1200

-5x=-1200

x=-1200/-5

c) 2x/3+5x/6=1/2

m.m.c

8x+10x=6

x=6/18

d) x/5=21-x/2

m.m.c

2x+5x=210

x=210/7

e)4/5+3x/5=1/10+x

m.m.c

16+15x=2+20x

-5x=-14

x=-15/-14

f)1/2

Explicação passo-a-passo:

me ajuda a crescer me marca como excelente