Answer:
Excluded value = -7
Solution = [tex] x = \frac{5}{9} [/tex]
Step-by-step Explanation:
The excluded value is the value that will make the denominator 0.
Thus,
[tex] x + 7 = 0 [/tex]
Subtract 7 from both sides
[tex] x + 7- 7 = 0 - 7 [/tex]
[tex] x = -7 [/tex]
The excluded value is -7
Solution=>
[tex] \frac{2x}{x + 7} + \frac{3x + 1}{x + 7} = \frac{1}{2} [/tex]
[tex] \frac{2x + (3x + 1)}{x + 7} = \frac{1}{2} [/tex]
[tex] \frac{5x + 1}{x + 7} = \frac{1}{2} [/tex]
Cross multiply
[tex] 2(5x + 1) = 1(x + 7) [/tex]
[tex] 10x + 2 = x + 7 [/tex]
[tex] 10x - x = -2 + 7 [/tex]
[tex] 9x = 5 [/tex]
[tex] x = \frac{5}{9} [/tex]
