Question

24)Find (x+y)/(x-y), if (i)x=2/5.y=1/2
(ii)x=1/4,=3/2​

Answer 1

Answer:

-9 and -1.4

Step-by-step explanation:

i)

$\frac{x + y}{ x - y} = \frac{ \frac{2}{5} + \frac{1}{2} }{ \frac{2}{5} - \frac{1}{2} } \\ = \frac{ \frac{4 + 5}{10} }{ \frac{4 - 5}{10} } \\ = \frac{9}{10} \times \frac{10}{ - 1} \\ = - 9$

ii)

$\frac{x + y}{x - y} = \frac{ \frac{1}{4} + \frac{3}{2} }{ \frac{1}{4} - \frac{3}{2} } \\ = \frac{ \frac{2 + 12}{8} }{ \frac{2 - 12}{8} } \\ = \frac{14}{8} \times \frac{8}{ - 10} \\ = - 1.4$