Respuesta :

a)

3000x - 2000 = 10 000

Add 2000 to both-side of the equation

3000x - 2000 + 2000 = 10 000 + 2000

3000x = 12000

Divide both-side of the equation by 3000

3000x/3000 = 12000/3000

x = 4

b) -2x/3

[tex]\frac{-2x}{3}-\frac{x}{7}=\text{ 17}[/tex]

Multiply through the equation by 21

[tex]21(\frac{-2x}{3})-21(\frac{x}{7})=\text{ 17(21)}[/tex][tex]7(-2x)\text{ - 3x =357}[/tex]

-14x - 3x = 357

-17x = 357

Divide both-side of the equation by -17

x = -21

c)

[tex]\frac{5}{2}x-\frac{1}{3}=\text{ 13}[/tex]

Add 1/3 to both-side of the equation

[tex]\frac{5x}{2}=13\text{ +}\frac{1}{3}[/tex][tex]\frac{5x}{2}=\text{ }\frac{39+1}{3}[/tex]

[tex]\frac{5x}{2}=\frac{40}{3}[/tex]

cross-multiply

15x = 80

Divide both-side of the equation by 15

x= 5.33

d)

[tex]\frac{3}{10}+\frac{2x}{5}=\frac{1}{2}[/tex]

multiply through the equation by 10

[tex]10(\frac{3}{10})+10(\frac{2x}{5})=10(\frac{1}{2})[/tex]

3 + 2(2x) = 5

3 + 4x = 5

subtract 3 from both-si