Question

5/x+y - 2/x-y =-1 ; 15/x+y + 7/x-y = 10 ......solve x and y by using elimination method ​

Answer 1

Step-by-step explanation:

5(x-y)-2(x+y) = (y^2-x^2)

15(x-y)+7(x+y) = 10(x^2 - y^2)

eq. 1 x(3) :

15(x-y) - 6(x+y) = -3(x^2-y^2)

now eq. 3 - eq. 2 :

-13(x+y) = -13(x-y)(x+y)

x= y+1

now put the value in eq. 1.

5(y+1-y) -2(y+1+y) = (y^2 - y^2-1-2y)

5 - 2 - 4y = -1-2y

4 = 2y

y = 2

then x = y+1 = 3