Answer :

(i)


3x - 4y = 7 eq.[1]


5x + 2y = 3 eq.[2]


Multiplying eq.[2] by 2 both side, we get


10x + 4y = 6 eq.[3]


Adding eq.[1] and eq.[3], we get


3x - 4y + 10x + 4y = 7 + 6


13x = 13


x = 1


Putting this in eq.[1], we get


3(1) - 4y = 7


-4y = 7 - 3


-4y = 4


y = -1


(ii)


5x + 7y = 17 eq.[1]


3x - 2y = 4 eq.[2]


Multiplying eq.[1] by 3 both side and Multiplying eq.[2] by 5 both side we get,


15x + 21y = 51 eq.[3]


15x - 10y = 20 eq.[4]


Subtracting eq.[4] from eq.[3], we get


15x + 21y - 15x + 10y = 51 - 20


31y = 31


y = 1


Putting this in eq.[1], we get


5x + 7(1) = 17


5x = 10


x = 2


(iii)


x - 2y = -10 eq.[1]


3x - 5y = -12 eq.[2]


Multiplying eq.[1] by 3


3x - 6y = -30 eq.[3]


Subtracting eq.[2] from eq.[3], we get


3x - 6y - 3x + 5y = -30 + 12


-y = -18


y = 18


Putting this in eq.[1], we get


x - 2(18) = -10


x - 36 = -10


x = 26


(iv)


4x + y = 34 eq.[1]


x + 4y = 16 eq.[2]


Multiplying eq.[2] by 4 both side, we get


4x + 16y = 64 eq.[3]


Subtracting eq.[3] from eq.[1], we get


4x + 16y - 4x - y = 64 - 34


15y = 30


y = 2


Putting this in eq.[2], we get


x + 4(2) = 16


x + 8 = 16


x = 8


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