Question

Solve for g: 4g/14 - 3/7 - g/14 = 3/14

Answer 1

g = 3

Step-by-step explanation:

Given: Expression
`(4g)/(14)-(3)/(7)- (g)/(14)=(3)/(14)`

We have to solve for g .

Consider the given expression
`(4g)/(14)-(3)/(7)- (g)/(14)=(3)/(14)`

Cancel common factor 2,

`(4g)/(14)=(2g)/(7)`

Expression becomes,

`(2g)/(7)-(3)/(7)-(g)/(14)=(3)/(14)`

Multiply both side by LCM = 14

`(2g)/(7)\cdot \:14-(3)/(7)\cdot \:14-(g)/(14)\cdot \:14=(3)/(14)\cdot \:14`

Simplify, we have,

`4g-6-g=3`

Adding g both side , we have,

`3g-6=3`

Adding 6 both side, we have,

`3g=9`

Divide both sde by 3, we have,

g = 3

Thus, g = 3

Answer 2

Answer:
g = 3

Step-by-step explanation:
To solve for g, we will need to isolate the g on one side of the equation.
This can be done as follows:

`(4g)/(14) - (3)/(7) - (g)/(14) = (3)/(14)`

1- multiply all terms by 14 to get rid of the fraction:
4g - 6 - g = 3

2- Combine like terms:
4g - g = 3 + 6
3g = 9

3- Isolate the g:

`(3g)/(3) = (9)/(3)`

g = 3

Hope this helps :)