please. give answer ,and I will mark you as brainliest
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Answer: PLS MARK BRAINLIEST
let 1/x be a and 1/y be b
so, 3a - 2b= -9 & 2a+ 3b= 5
Adding 2 equations we get
5a-b = -4 so b= 5a +4
substituting b in (2)
2a + 3(5a+4)= 5
17a+ 12= 5
so a= -7/ 17
subs a in b so b= (-7/17)*5 +4
so b= 33/17
so 1/x= -7/17 so x= -17/7
1/y= 33/17 so y = 17/33
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EXPLANATION.
- EQUATION GIVEN
3/x - 1/y = -9 .....(1)
2/x + 3/y = 5 ....(2)
Let we assume that 1/x = a and 1/y = b
The new equation will be written as ;-
3a - b = -9 ....(3)
2a + 3b = 5 ...(4)
multiply equation (1) by 3
multiply equation (2) by 1
9a - 3b = -27
2a + 3b = 5
Therefore,we get,
11a = -22
a = -2
put the value of a in equation (4) we get
2a + 3b = 5
2(-2) + 3b = 5
-4 + 3b = 5
3b = 9
b = 3
Therefore, we can assume 1/x = a
1/x = -2
-2x = 1
x = -1/2
we assume that 1/y = b
1/y = 3
3y = 1
y = 1/3
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