find x and y 5/x-1+2/y-2=5 , 1/2(x-1)-3/y-2=4
Answers
Answer:
x = 39/ 23 and y = 162/65.
Step-by-step explanation:
let
5/(x-1)+2/(y-2)=5 and 1/2 (x-1)-3/(y-2)=4
a=1/(x-1) and b=1/(y-2)
Now ,
5a + 2b = 5 --------> equation (1)
1/2a - 3b = 4 --------> equation (2)
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(1)×3=> 15a + 6b = 15
(2)×2=> 1a - 6b = 8
-------------------------------------------------------
16a + 0b = 23
a = 23/16
sub in equation (1)
5 (23/16) + 2b = 5
2b = 5 - 5 (23/16)
2b = (180 - 115)/16
2b = 65/16
b = 65/32
a = 23/16 and b = 65/32
a = 1 /(x-1)
23/16 = 1/(x-1)
23 (x-1) = 16
23x - 23 = 16
23x = 16+23
x = 39/23
b= 65/32= 1/(y-2)
65 (y-2) = 32
65y - 130 = 32
65y = 162
y = 162/65
now the answer is
x = 39/ 23 and y = 162/65.
Answer:
x=39/23
y=38/35
Step-by-step explanation:
