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

Explanation

To solve the problem step by step, we will determine the point on the graph of the linear equation \(2x + 5y = 19\) whose ordinate (y-coordinate) is \(1 \frac{1}{2}\) times its abscissa (x-coordinate).

### Step 1: Understand the terms
- The abscissa refers to the x-coordinate, and the ordinate refers to the y-coordinate.
- According to the problem, the ordinate \(y\) is \(1 \frac{1}{2}\) times the abscissa \(x\).

### Step 2: Express the relationship mathematically
Convert \(1 \frac{1}{2}\) to an improper fraction:
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