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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.
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3x+2y=2250 2x+3y=2750 Solve this pair of linear equations in two variables?
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