Question

solve for x and y :
5/(x+1) + 2/(y-1) =1/2
10/(x+1) - 2/(y-1) =5/2
where x doesnot equal 1 and y doesnot equal to 1​

Answer 1

Answer:

x = 4

y = -3

Step-by-step explanation:

$\frac{5}{(x + 1)}$ + $\frac{2}{(y - 1)}$ = $\frac{1}{2}$ [1st given equation]

$\frac{10}{(x + 1)}$ - $\frac{2}{(y - 1)}$ = $\frac{5}{2}$ [2nd given equation]

Adding the two given equations:

$\frac{15}{(x + 1)}$ = 3

=> 3x + 3 = 15

=> 3x = 12

∴ x = 4

Multiplying the fist given equation:

$\frac{10}{(x + 1)}$ + $\frac{4}{(y - 1)}$ = 1 [Let's call this as equation 3]

Now subtracting equation (3) from equation (2):

$\frac{4}{(y - 1)}$ + $\frac{2}{(y - 1)}$ = 1 - $\frac{5}{2}$

=> $\frac{6}{(y - 1)}$ = -$\frac{3}{2}$

=> 3y - 3 = - 12

= 3y = -9

∴ y = -3