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3/x+3 - 2/y-3 =-1/2 and
9/x+3 + 1/y-3=2
fund value of x,y?
9/x+3 + 1/y-3=2
fund value of x,y?
Most Upvoted Answer
3/x+3 - 2/y-3 =-1/2 and9/x+3 + 1/y-3=2 fund value of x,y?
Given Equations:
3/x + 3 - 2/y - 3 = -1/2
9/x + 3 + 1/y - 3 = 2
Finding the Value of x and y:
Step 1: Simplify the Equations
- Multiply both sides of the first equation by 2 to get rid of the fraction:
6/x + 6 - 4/y - 6 = -1
6/x - 4/y = -7
- Multiply both sides of the second equation by 2 to simplify:
18/x + 6 + 2/y - 6 = 4
18/x + 2/y = 4
Step 2: Write the Equations in a System Form
6/x - 4/y = -7
18/x + 2/y = 4
Step 3: Solve the System of Equations
Multiply the first equation by 3 to make the coefficients of x the same:
18/x - 12/y = -21
Now subtract the second equation from this modified first equation:
18/x - 12/y - 18/x - 2/y = -21 - 4
-14/y = -25
y = 25/14
Substitute y back into the first equation to solve for x:
6/x - 4/(25/14) = -7
6/x + 56/25 = -7
6/x = -7 - 56/25
6/x = -175/25
x = -25/6
Step 4: Final Answer
The values of x and y are x = -25/6 and y = 25/14.
3/x + 3 - 2/y - 3 = -1/2
9/x + 3 + 1/y - 3 = 2
Finding the Value of x and y:
Step 1: Simplify the Equations
- Multiply both sides of the first equation by 2 to get rid of the fraction:
6/x + 6 - 4/y - 6 = -1
6/x - 4/y = -7
- Multiply both sides of the second equation by 2 to simplify:
18/x + 6 + 2/y - 6 = 4
18/x + 2/y = 4
Step 2: Write the Equations in a System Form
6/x - 4/y = -7
18/x + 2/y = 4
Step 3: Solve the System of Equations
Multiply the first equation by 3 to make the coefficients of x the same:
18/x - 12/y = -21
Now subtract the second equation from this modified first equation:
18/x - 12/y - 18/x - 2/y = -21 - 4
-14/y = -25
y = 25/14
Substitute y back into the first equation to solve for x:
6/x - 4/(25/14) = -7
6/x + 56/25 = -7
6/x = -7 - 56/25
6/x = -175/25
x = -25/6
Step 4: Final Answer
The values of x and y are x = -25/6 and y = 25/14.
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3/x+3 - 2/y-3 =-1/2 and9/x+3 + 1/y-3=2 fund value of x,y?
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3/x+3 - 2/y-3 =-1/2 and9/x+3 + 1/y-3=2 fund value of x,y? for UPSC 2025 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about 3/x+3 - 2/y-3 =-1/2 and9/x+3 + 1/y-3=2 fund value of x,y? covers all topics & solutions for UPSC 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 3/x+3 - 2/y-3 =-1/2 and9/x+3 + 1/y-3=2 fund value of x,y?.
3/x+3 - 2/y-3 =-1/2 and9/x+3 + 1/y-3=2 fund value of x,y? for UPSC 2025 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about 3/x+3 - 2/y-3 =-1/2 and9/x+3 + 1/y-3=2 fund value of x,y? covers all topics & solutions for UPSC 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 3/x+3 - 2/y-3 =-1/2 and9/x+3 + 1/y-3=2 fund value of x,y?.
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