2x+3y=9 and 3x+4y=5
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[2x + 3y = 9 --------(1)] × 4
[3x + 4y = 5 ---------(2)] × 3
8x + 12y = 36
9x + 12y = 15
- - -
____________
-x = 21
x = -21
Putting the value of 'x' in eq. (1)
2x + 3y = 9
2(-21) + 3y = 9
-42 + 3y = 9
3y = 51
y = 17
Hence,
x = -21
y = 17
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