71x+ 37y = 253 37x + …
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Preeti Dabral 2 years, 4 months ago
The given equations are
71x+37y=253.........(i)
37x+71y=287.........(ii)
Adding (i) and (ii),we get
108x+108y=540
108(x+y)=540
∴x+y=540108=5......(iii)
Subtracting (ii) from (i),
34x−34y=253−287=−34
34(x−y)=−34
∴x−y=−3434=−1....(iv)
Adding (iii) and (iv)
2x = 5 - 1 = 4
⇒x=2
Subtracting (iv) from (iii)
2y = 5 + 1 = 6
⇒y=3
∴ Solution is x = 2, y = 3
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