please answer the above attachment question
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Solution
Given ,
- 2x + 5y = 19 whose ordinate is 1 whole 1/2 times it's abscissa .
So ,
- Let x be the abscissa of the given line 2x+5y=19 , then given condition ;
=> ordinate (y) = 1 whole 1/2 × abscissa
=> y = 3/2x
On putting y = 3/2 X in the given equation we get :
2x + 5(3/2)X = 19
Now solving this we get ;
=> 4x + 15x = 38
=> 19x = 38
=>X = 38/19
=>X = 2
On substituting the value of x in equation 1 we get ;
=> y = 3/2×2 = 3
=>y = 3
So, the required points are (2,3)
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