Question

Solve 217x + 131y= 913 , 131x +217y = 827

Answer 1

here is your answer

I hope it will help u

Answer 2

The given equation are

217x + 131y= 913 .......( 1 )

131x +217y = 827........( 2 )

Adding equation ( 1 ) and equation ( 2 ),we get

( 217x + 131y ) + ( 131x + 217y) = 913 + 827

⇒ 348x + 348y = 1740

⇒ 348 ( x + y ) = 1740

⇒ x + y = 1740/348

⇒ x + y = 5 ........( 3 )

Subtracting equation ( 2 ) from equation ( 1 ), we get

86x - 86y = 86

⇒ 86 ( x - y ) = 86

⇒ x - y = 86/86

⇒ x - y = 1 ...........( 4 )

Adding equations ( 3 ) and ( 4 ) , we get

☆ 2x = 6 ⇒ x = 3

Subtracting equation ( 4 ) from ( 3 ), we get

☆ 2y = 4 ⇒ y = 2

Hence, the solution is x = 3 and y = 2 .