x+y=5,2x+3y=4 find x and y
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x + y = 5 ( equation 1 )
2x +3y = 4 ( equation 2 )
Now,
multiplying (eq.1) by 2 and subtracting (eq.2) from ( eq.1 )
(2x + 2y = 10) - (2x +3y = 4 )
=> 2x + 2y - 2x - 3y = 6
=>-y=6 =>y= -6 Putting the value of y in ( eq.1 )
=> x+ y = 5
=> x -6 = 5
=> x = 5 + 6 =>x=11
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