Question

I need help with math

Answer 1

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

`(-2x)/(3)-(x)/(7)=\text{ 17}`

Multiply through the equation by 21

`21((-2x)/(3))-21((x)/(7))=\text{ 17(21)}`
`7(-2x)\text{ - 3x =357}`

-14x - 3x = 357

-17x = 357

Divide both-side of the equation by -17

x = -21

c)

`(5)/(2)x-(1)/(3)=\text{ 13}`

Add 1/3 to both-side of the equation

`(5x)/(2)=13\text{ +}(1)/(3)`
`(5x)/(2)=\text{ }(39+1)/(3)`

`(5x)/(2)=(40)/(3)`

cross-multiply

15x = 80

Divide both-side of the equation by 15

x= 5.33

d)

`(3)/(10)+(2x)/(5)=(1)/(2)`

multiply through the equation by 10

`10((3)/(10))+10((2x)/(5))=10((1)/(2))`

3 + 2(2x) = 5

3 + 4x = 5

subtract 3 from both-si