Determine the point on the graph of the linear equation 2x+5y=19,whose ordinate is 1 and half times its abscissa
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Answered by
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 .
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 .
Answered by
431
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