Respuesta :
Given that the equation [tex]-2x+3y=9[/tex]
We need to determine the coordinate that is not a solution to the equation.
Option A: (0,3)
Substituting the coordinate (0,3) in the equation [tex]-2x+3y=9[/tex], we get;
[tex]-2(0)+3(3)=9[/tex]
[tex]0+9=9[/tex]
[tex]9=9[/tex]
Since, both sides of the equation are equal, then the coordinate (0,3) is a solution to the equation.
Hence, Option A is not the correct answer.
Option B: (1,-3)
Substituting the coordinate (1,-3) in the equation [tex]-2x+3y=9[/tex], we get;
[tex]-2(1)+3(-3)=9[/tex]
[tex]-2-9=9[/tex]
[tex]-11\neq 9[/tex]
Since, both sides of the equation are not equal, then the coordinate (1,-3) is not a solution to the equation.
Hence, Option B is the correct answer.
Option C: (-3,1)
Substituting the coordinate (-3,1) in the equation [tex]-2x+3y=9[/tex], we get;
[tex]-2(-3)+3(1)=9[/tex]
[tex]6+3=9[/tex]
[tex]9=9[/tex]
Since, both sides of the equation are equal, then the coordinate (-3,1) is a solution to the equation.
Hence, Option C is the correct answer.
Therefore, the coordinate (1,-3) is not a solution to the equation [tex]-2x+3y=9[/tex]
