Question

Which of the following is not a solution to the equation −2x + 3y = 9.

Answer 1

Given that the equation $-2x+3y=9$

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 $-2x+3y=9$, we get;

$-2(0)+3(3)=9$

           $0+9=9$

                 $9=9$

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  $-2x+3y=9$, we get;

$-2(1)+3(-3)=9$

           $-2-9=9$

               $-11\neq 9$

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  $-2x+3y=9$, we get;

$-2(-3)+3(1)=9$

              $6+3=9$

                    $9=9$

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 $-2x+3y=9$