Question

resolva as seguintes equacoes?
a)4×/3-2=6
b)7×/5-10=4
c)×/3+×/5+2=10
d)2×/3+3×/2-3=10
e)×/2=3
f)4×/3-2=6
g)5×-3=2×+12
h)7×+1=5×-9
i)×-1/2+1=×/7+4
​

Answer 1

Resposta:

são identidades simples de equações de 1º grau

Explicação passo a passo:

a)

$\frac{4x}{3}-2=6$

$\frac{4x}{3} =6+2$

$\frac{4x}{3} =8$

$4x=8\cdot3$

$4x=24$

$x=\frac{24}{4}$

$x=6$

b)

$\frac{7x}{5} -10=4$

$\frac{7x}{5} =4+10$

$\frac{7x}{5} =14$

$7x=14\cdot5$

$7x=70$

$x=\frac{70}{7}$

$x=10$

c)

$\frac{x}{3}+\frac{x}{5} +2=10$

$\frac{x}{3} +\frac{x}{5} =10-2$

$\frac{x}{3} +\frac{x}{5}=8$

$\frac{5x}{15}+\frac{3x}{15}=8$                   igualando os numeradores

$5x+3x=8\cdot15$

$5x+3x=120$

$8x=120$

$x=\frac{120}{8}$

$x=15$

d)

$\frac{2x}{3}+\frac{3x}{2}-3=10$

$\frac{2x}{3}+\frac{3x}{2}=10+3$

$\frac{2x}{3}+\frac{3x}{2}=13$

$\frac{4x}{6}+\frac{9x}{6}=13$                   igualando os numeradores

$4x+9x=13\cdot6$

$4x+9x=78$

$13x=78$

$x=\frac{78}{13}$

$x=6$

e)

$\frac{x}{2} =3$

$x=3\cdot2$

$x=6$

f)

$\frac{4x}{3} -2=6$

$\frac{4x}{3}=6+2$

$\frac{4x}{3}=8$

$4x=8\cdot3$

$4x=24$

$x=\frac{24}{4}$

$x=6$

g)

$5x-3=2x+12$

$5x-2x=12+3$

$3x=15$

$x=\frac{15}{3}$

$x=5$

h)

$7x+1=5x-9$

$7x-5x=-1-9$

$2x=-10$

$x=\frac{-10}{2}$

$x=-5$

i)

$x-\frac{1}{2} +1=\frac{x}{7}+4$

$x-\frac{x}{7}=4+\frac{1}{2}-1$

$x-\frac{x}{7}=\frac{7}{2}$

$x=\frac{7}{2}+\frac{x}{7}$

$x=\frac{49}{14}+\frac{2x}{14}$                   igualando os numeradores

$14x=49+2x$

$14x-2x=49$

$12x=49$

$x=\frac{49}{12}$

espero que ter ajudado ✌