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The equations x+y / xy=2 and x-y/x=6 are satisfied if
- a)x=-1/4,y=1/2
- b)x=1/2,y=-1/4
- c)x=-1/2,y=1/4
- d)x=1/2,y=1/4
Correct answer is option 'C'. Can you explain this answer?
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Most Upvoted Answer
The equations x+y / xy=2 and x-y/x=6 are satisfied ifa)x=-1/4,y=1/2b)x...
Given equations:
1) xy / (xy) = 2
2) (x - y) / x = 6
To find the values of x and y that satisfy both equations.
Simplifying equation 1:
xy / (xy) = 2
1 = 2
This equation is not possible, as 1 does not equal 2. Therefore, there are no values of x and y that satisfy equation 1.
Now, let's simplify equation 2:
(x - y) / x = 6
Multiplying both sides by x:
x - y = 6x
Rearranging the equation:
x - 6x = y
-5x = y
Now, we have a relationship between x and y.
Possible values for x and y:
Substituting different values for x and y, we can check if they satisfy equation 2.
Let's try option A: x = -1/4, y = 1/2
-5(-1/4) = 1/2
5/4 = 1/2
This equation is not satisfied.
Let's try option B: x = 1/2, y = -1/4
-5(1/2) = -1/4
-5/2 = -1/4
This equation is not satisfied.
Let's try option C: x = -1/2, y = 1/4
-5(-1/2) = 1/4
5/2 = 1/4
This equation is not satisfied.
Let's try option D: x = 1/2, y = 1/4
-5(1/2) = 1/4
-5/2 = 1/4
This equation is not satisfied.
None of the given options satisfy equation 2. Therefore, none of the options are correct.
Hence, the correct answer is none of the given options.
1) xy / (xy) = 2
2) (x - y) / x = 6
To find the values of x and y that satisfy both equations.
Simplifying equation 1:
xy / (xy) = 2
1 = 2
This equation is not possible, as 1 does not equal 2. Therefore, there are no values of x and y that satisfy equation 1.
Now, let's simplify equation 2:
(x - y) / x = 6
Multiplying both sides by x:
x - y = 6x
Rearranging the equation:
x - 6x = y
-5x = y
Now, we have a relationship between x and y.
Possible values for x and y:
Substituting different values for x and y, we can check if they satisfy equation 2.
Let's try option A: x = -1/4, y = 1/2
-5(-1/4) = 1/2
5/4 = 1/2
This equation is not satisfied.
Let's try option B: x = 1/2, y = -1/4
-5(1/2) = -1/4
-5/2 = -1/4
This equation is not satisfied.
Let's try option C: x = -1/2, y = 1/4
-5(-1/2) = 1/4
5/2 = 1/4
This equation is not satisfied.
Let's try option D: x = 1/2, y = 1/4
-5(1/2) = 1/4
-5/2 = 1/4
This equation is not satisfied.
None of the given options satisfy equation 2. Therefore, none of the options are correct.
Hence, the correct answer is none of the given options.
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The equations x+y / xy=2 and x-y/x=6 are satisfied ifa)x=-1/4,y=1/2b)x=1/2,y=-1/4c)x=-1/2,y=1/4d)x=1/2,y=1/4Correct answer is option 'C'. Can you explain this answer?
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