04-10-2020
Mathematics

contestada

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

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04-10-2020

Answer:

(2, 3)

Step-by-step explanation:

2x + 5y = 19

5y = -2x + 19

y = [tex]-\frac{2}{5} x + \frac{19}{5}[/tex]

P(abscissa, ordinate)

P(x, 1.5x)

P(2, 3)

[tex]3 = -\frac{2}{5} (2) + \frac{19}{5}[/tex]

[tex]3 = -\frac{4}{5} + \frac{19}{5}[/tex]

3 = 15/5

3 = 3

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