According to the given statement, y - coordinate = 1 1/2 (X-coordinate) = 3/2 of X. Now, the value of y in eq. 2x+5y=19 will be = 3/2 of X. Therefore, 2x+5y=19 2x+5×3/2x = 19 2x+15x/2 = 19 2x+15x = 38 17x = 38 x = 38/17 = 2 (approx) Hence, the point is (2,3). Now place it on the graph. Hope, you understand it very well.

X=2
Y=3
Ordinate is one and a half times abscissa.
Y=1.5x
3=1.5×2

2

Preethi answered this

X=2 , Y=3
2(2)+5(3)=19
Ordinate is one and a half times its abscissa...
Y=1.5x
3=1.5×2

1

Rs answered this

Given- 2x+5y=19
So,2x+5y-19=0 (1)
And given that, y=1 1/2x
Therefore y=3/2x
So, 2x=3y
2x-3y=0 (2)
On comparing (1) and (2)
We get
2x+5y-19=3x-2y
Solving it,
7y=19+x
Now putting x=2
We get
7y=19+2
7y=21
y=3
So we get coordinates
(2 , 3)