Question

Given that a=3, b=-2 and c= -4, evaluate the following expression.
2c-a/3c+b - 5a+4c/c-a

Answer 1

Given:

Consider the given expression is:

`(2c-a)/(3c+b)-(5a+4c)/(c-a)`

To find:

The value of the given expression for
`a=3, b=-2, c=-4`.

Solution:

We have,

`(2c-a)/(3c+b)-(5a+4c)/(c-a)`

Substituting
`a=3, b=-2, c=-4`, we get

`(2(-4)-(3))/(3(-4)+(-2))-(5(3)+4(-4))/((-4)-(3))`

`=(-8-3)/(-12-2)-(15-16)/(-4-3)`

`=(-11)/(-14)-(-1)/(-7)`

`=(11)/(14)-(1)/(7)`

Taking LCM, we get

`=(11-2)/(14)`

`=(9)/(14)`

Therefore, the value of the given expression for
`a=3, b=-2, c=-4` is
`(9)/(14)`.