To know if a point is a solution to an equation, we have to evaluate the x-entry of the point at the equation and if the result is the y-entry of the point, then it is a solution, otherwise, it is not a solution.
Answer:
Evaluating the given equation at x=1.5 and solving for y we get:
[tex]\begin{gathered} 2(1.5)-3y=15, \\ 3-3y=15, \\ 3-15=3y, \\ -12=3y, \\ -\frac{12}{3}=y, \\ -4=y\text{.} \end{gathered}[/tex]
Therefore, point (1.5,-4) is a solution to the given equation.
Now, since for each y there is only one x, then the point (4,-4) cannot be a point on the line, therefore (4,-4) is not a solution to the given equation.
