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Q9. Solve for x and y:71x + 37y = 253 and 37x + 71y= 287

Answer»

71x+37y=253 ...(i)37x+71y=287 ...(ii)add (i) and (ii) to get108(x+y)=540= x+y=5 ....(iii)substract (ii) from (i) to get34(x-y)=-34=x-y=-1 ...(iv)add (iii) and (iv)x+y+x-y=5+(-1)=2x=4=x=2putting the value of x in(iii) we get2+y=5y=3hence x=2 and y=3

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