Question

Solve the equation1/4p-2/5=3/4p+7P=

Answer 1

Solve:

`(1)/(4)p-(2)/(5)=(3)/(4)p+7`

The LCM of the denominators is 4*5 = 20. So we multiply each term by 20 to eliminate denominators:

`20\cdot(1)/(4)p-20\cdot(2)/(5)=20\cdot(3)/(4)p+20\cdot7`

Operating:

`5p-8=15p+140`

Adding 8 and subtracting 15p:

`5p-15p=8+140`

Simplifying:

`-10p=148`

Dividing by -10:

`p=(148)/(-10)`

Simplifying:

`p=-(74)/(5)`