Question

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

Answer 1

(2, 3)

Explanation:

2x + 5y = 19

5y = -2x + 19

y =
`-(2)/(5) x + (19)/(5)`

P(abscissa, ordinate)

P(x, 1.5x)

P(2, 3)

`3 = -(2)/(5) (2) + (19)/(5)`

`3 = -(4)/(5) + (19)/(5)`

3 = 15/5

3 = 3