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3x+2y=2250 2x+3y=2750 Solve this pair of linear equations in two variables?
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3x+2y=2250 2x+3y=2750 Solve this pair of linear equations in two varia...
Given Equations:
3x + 2y = 2250
2x + 3y = 2750
Step 1: Elimination Method
To solve this pair of linear equations, we can use the elimination method. Multiply the first equation by 2 and the second equation by 3 to make the coefficients of x equal:
6x + 4y = 4500
6x + 9y = 8250
Step 2: Subtract Equations
Subtract the first equation from the second equation:
(6x + 9y) - (6x + 4y) = 8250 - 4500
5y = 3750
y = 750
Step 3: Substitute y back into one of the equations
Substitute y = 750 into the first equation:
3x + 2(750) = 2250
3x + 1500 = 2250
3x = 750
x = 250
Step 4: Final Solution
Therefore, the solution to the given pair of linear equations is x = 250 and y = 750.
Conclusion:
The solution to the pair of linear equations is x = 250 and y = 750. This method can be used to solve similar linear equations efficiently.
3x + 2y = 2250
2x + 3y = 2750
Step 1: Elimination Method
To solve this pair of linear equations, we can use the elimination method. Multiply the first equation by 2 and the second equation by 3 to make the coefficients of x equal:
6x + 4y = 4500
6x + 9y = 8250
Step 2: Subtract Equations
Subtract the first equation from the second equation:
(6x + 9y) - (6x + 4y) = 8250 - 4500
5y = 3750
y = 750
Step 3: Substitute y back into one of the equations
Substitute y = 750 into the first equation:
3x + 2(750) = 2250
3x + 1500 = 2250
3x = 750
x = 250
Step 4: Final Solution
Therefore, the solution to the given pair of linear equations is x = 250 and y = 750.
Conclusion:
The solution to the pair of linear equations is x = 250 and y = 750. This method can be used to solve similar linear equations efficiently.
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3x+2y=2250 2x+3y=2750 Solve this pair of linear equations in two variables?
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3x+2y=2250 2x+3y=2750 Solve this pair of linear equations in two variables? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about 3x+2y=2250 2x+3y=2750 Solve this pair of linear equations in two variables? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 3x+2y=2250 2x+3y=2750 Solve this pair of linear equations in two variables?.
3x+2y=2250 2x+3y=2750 Solve this pair of linear equations in two variables? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about 3x+2y=2250 2x+3y=2750 Solve this pair of linear equations in two variables? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 3x+2y=2250 2x+3y=2750 Solve this pair of linear equations in two variables?.
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