Math, asked by Addy200206, 1 year ago

Determine the point on the graph of the linear equation 2x+5y=19,whose ordinate is 1 and half times its abscissa

Answers

Answered by HappiestWriter012
702
Let the abscissa be x.
Then the ordinate = 3/2a .

Now, Coordinates of the point ( a, 3/2a ) .

Also, Given that it is a point on the line 2x + 5y = 19

Now,
2(a) + 5(3/2a) = 19

2a + 15/2a = 19

19a = 38

a = 2 .

Now, Abscissa = 2 .
Ordinate = 3/2(2)= 3 .

 \bold{ The \: required \: point \:  is \:  ( 2 , 3 )}
Answered by bhumika225
431
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