Solve the following simultaneous equation :-
13x+11y=70
11x+13y=74
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13x+11y=70
11x+13y=74
Multiplying eqn(1) with 11
11(13x+11y)=11×70
⟹143x+121y=770−−−eqn(3)
Multiplying eqn(2) with 13
13(11x+13y)=13×74
143x+169y=962
Subtracting eqn(3) from eqn(4) we get,
48y=192 ⟹y=4
Now let us eliminate y.
Multiplying eqn(1) with 13 then we get,
169x+143y=91
Multiplying eqn(2) with 11, we get
121x+143y=814
Subtracting eqn(6) from eqn(5),we get x=2
So x=2 and y=4 is our solution
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