Question

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

Question options:

(0, 3)


(1 , -3)


(-3 , 1)

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\\eq 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`