solve 9/x+y-5/x-y=4 where x+y is not equal to zero and x - y is not equal to zero
Answers
Answered by
0
4/x+y - 3/x-y = 5 ....(1)
9/x+y - 5/x-y = 4 ....(2)
Let 1/x+y = a, 1/x-y = b
⇒ 4a - 3b = 5...(1)
9a - 5b = 4...(2)
Multyply equation (1) with' 5 'and equation (2) with' 3'
we get:
20a - 15b = 25..(1)
27a - 5b = 12...(2)
By subtracting ...(2) from (1) we get:
-7a = 13
a= -13/7
a = 1/x+y = -13/7
⇒x+y = -7/13
substituting the value of 'a' in 4a - 3b = 5, we get:
4(-13/7) - 3b = 5
-52/7 - 3b = 5
b =( 5 + 52/7)÷ -3
b = -29/7
b= 1/x-y = -29/7
⇒x-y = -7/29
∴ x+y = -7/13 ....(3)
x-y = -7/29 ....(4)
by adding (3) and (4):
2x = -7/13 -7/29
x = - 294/ 377
substitute the value of 'x' in (3):
-294/377 + y = -7/13
y= -7/ 13 + 294/377
y= 91/ 377
⇒ x= -294/377 =-42/ 53
y= 91/377 = 13/53
∴ x= -42/53 , y = 13/53
Hope it helps :)
mark me as BRAINLEAST
Similar questions