Answer :

Let us put and.


On substituting these values in the given equations, we get


35p + 14q = 19 … (1)


14p + 35q = 37 … (2)


We know that the general form for a pair of linear equations in 2 variables x and y is a1x + b1y + c1 = 0


and a2x + b2y + c2 = 0.


Comparing with above equations,


we have a1 = 35, b1 = 14, c1 = - 19; a2 = 14, b2 = 35, c2 = - 37


We can solve by cross multiplication method using the formula



Substituting values in the formula, we get





and


p = 1/7 and q = 1


Since



x + y = 7 … (3) and x – y = 1 … (4)


Adding equations (3) and (4),


(x + x) + (y – y) = 7 + 1


2x = 8


x = 4


Substituting x value in (4),


4 – y = 1


y = 3


The solution is x = 4 and y = 3.


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