Question

*Which of the following is not a solution of 3x+6y=12?*

1️⃣ (-4,4)
2️⃣ (0,2)
3️⃣ (8,-2)
4️⃣ (3,1)​

Answer 1

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4️⃣ (3,1)

Answer 2

Answer:

Step-by-step eGiven:

Equation :  3x+6y=12

To Find :

Which of the following are not a solution to the given equation.

(-4,4)

(0,2)

(8,-2)

(3,1)​

Explanation:

Applying all the given set of numbers to the equation.

Note. All the options are given of the form (x,y)

Hence all first numbers are x and all second numbers are y

1 ) 3(-4) + 6(4)

   =   -12 + 24

   = 12

Therefore, (-4,4) is a solution to the given equation.

2 ) 3(0) + 6(2)

   =  0 + 12

   = 12

Therefore, (0,2) is a solution to the given equation.

3 ) 3(8) + 6(-2)

   =   24 - 12

   = 12

Therefore, (8,-2) is a solution to the given equation.

4 ) 3(3) + 6(1)

   =   9 + 6

   = 15

Which is not equal to 12.

Therefore, (3,1) is a NOT solution to the given equation.  

Hence (3,1)  Is the answer to the given problem

explanation: