Is the point (2,1) lie on the graph of the linear equation 5x+15y=19? Explain. Determine the point on the graph of the linear equation 2x-7y=49, whose ordinate is equal to abscissa? At what point the graph of the linear equation 2x-y=7 cuts the y-axis?
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Addy200206
Addy200206
17.02.2018
Math
Secondary School
+5 pts
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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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HappiestWriter012
HappiestWriter012 Genius
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 .
the required point are (2,3)
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