Question

What is the excluded value?

Answer 1

Excluded value = -7

Solution =
`x = (5)/(9)`

Explanation:

The excluded value is the value that will make the denominator 0.

Thus,

`x + 7 = 0`

Subtract 7 from both sides

`x + 7- 7 = 0 - 7`

`x = -7`

The excluded value is -7

Solution=>

`(2x)/(x + 7) + (3x + 1)/(x + 7) = (1)/(2)`

`(2x + (3x + 1))/(x + 7) = (1)/(2)`

`(5x + 1)/(x + 7) = (1)/(2)`

Cross multiply

`2(5x + 1) = 1(x + 7)`

`10x + 2 = x + 7`

`10x - x = -2 + 7`

`9x = 5`

`x = (5)/(9)`