Fractional equations 4 / x + 3 / y = 109 / X-7 / y = - 5 4/x+y+6/x-y=3 9/x-y-1/x=y=1

Fractional equations 4 / x + 3 / y = 109 / X-7 / y = - 5 4/x+y+6/x-y=3 9/x-y-1/x=y=1

4/x+3/y=10
9/x-7/y=-5
Let 1 / x = a, 1 / y = B
Then 4A + 3B = 10
9a-7b=-5 ②
9 (1) - 4 (2)
55b=110
b=2 ③
Substituting (3) into (1) gives 4A = 4
a=1
1/x=a=1 x=1
1/y=b=2 y=1/2
(2)4/x+y+6/x-y=3
9/x-y-1/x+y=1
Let 1 / x + y = a, 1 / X-Y = B
Then 4A + 6B = 3
9b-a=1 ②
① + 4 ②: 42b = 7 b = 1 / 6 ③
3 / 2-A = 1 a = 1 / 2 is obtained by substituting 3 into 2
1/x+y=a=1/2 x+y=2
1/x-y=b=1/6 x-y=6
The solution is x = 4, y = - 2

3 / (X-Y) + 10 / (x + y) = - 5 2 / (X-Y) - 15 / (x + y) = 1 to solve fractional equations

x= -3;y= -2;
First, solve 3x + 10Y = - 5 2x - 15y = 1 to get x, y, then
Then calculate X-Y = 1 / x, x + y = 1 / y;

The fractional equations {3 / X-1 / y = 5,2 / x + 3 / y = 1

Hello
3/x-1/y=5
9/x-3/y=15
Two formula addition
9/x+2/x=15+1
11/x=16
x=11/16
1/y=3/x-5=48/11-5=-7/11
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