Solve for X and Y

(i) 37x + 43y = 123 ; 43x + 37y = 117

(ii) 7x - 8y = 11 ; 8x - 7y = 7

(iii) x + 2y = 32 ; 2x + y = 32

(iv) 2x + 3y = 6 ; 3x - 5y2 = 2

(v) x7 + y3 = 5 ; x2 - y9 = 6

(vi) 2x + 3y = 31 ; 17x - 11y = 9

Answers as quick as u can plzz........

 (i) 37x + 43y = 123 ----- (i)

43x + 37y = 117 -------(ii)

(i) + (ii),

37x + 43x + 43y + 37y = 123 + 117

80x + 80y = 240

x + y = 3 -------- (3)

(i) - (ii) , gives

37x + 43y - 43x - 37y = 6

-6x + 6y = 6

y - x = 1 ----- (4)

(3) + (4) , gives

x + y + y - x = 1 + 3

2y = 4

y = 2 ,similarly x = 1

Ans: x = 1 and y = 2

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37x+43y=123          ..............(1)

43x+37y=117          ..............(2)

ADD EQN (1)AND(2)

WE GET 80X + 80Y = 240,  WHICH WHEN REDUCED IS X + Y = 3 ........................(3)

SUBRACTING EQN (1) AND (2) WE GET

-6X + 6Y = 6, WHICH WHEN REDUCED IS (-X + Y = 1)   ........................(4)

ADDING EQN (3) AND (4)

 X + Y = 3

-X + Y = 1

WE GET 2Y = 4

SO Y = 2 

SUBSTITUTING Y = 2 IN EQN (3) WE GET

X + 2 = 3

SO X = 1

THEREFORE X= 1 AND Y = 2 IS THE SOLUTION FOR THE PAIR OF LINEAR EQUATIONS.

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