Question

16. Which of the following is not the solution of 2x – 3y = 4? (A) (-1, —2) (B) (-4, — 4) (C) (5, 2) (D) (2, 5)​

Answer 1

Concept Introduction:-

It might resemble a word or a number representation of the quantity's arithmetic value.

Given Information:-

We have been given that $2x - 3y = 4$

To Find:-

We have to find that Which of the following is not the solution of $2x - 3y = 4$

Solution:-

According to the problem

Putting $(-1, -2)$ in the given equation, we get

$2(-1) - 3(-2) = 4\\\Rightarrow -2+6=4\\\Rightarrow 4=4$

∴$(-1, -2)$ is the solution.

Putting $(-4, -4)$ in the given equation, we get

$2(-4) - 3(-4) = 4\\\Rightarrow -8+12=4\\\Rightarrow 4=4$

∴$(-4, -4)$ is the solution.

Putting $(5, 2)$ in the given equation, we get

$2(5) - 3(2) = 4\\\Rightarrow 10-6=4\\\Rightarrow 4=4$

∴$(5, 2)$ is the solution.

Putting $(2, 5)$ in the given equation, we get

$2(2) - 3(5) = 4\\\Rightarrow 4-15=4\\\Rightarrow -11\neq 4$

∴$(2, 5)$ is not the solution.

Final Answer:-

The correct option is $(D) (2, 5)$.

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Answer 2

Answer:the (2,5) is not the solution of equation $2x-3y=4$.

Step-by-step explanation:

Given: We have given equation $2x-3y=4$

           and given solutions are (A) (-1, -2) (B) (-4, - 4) (C) (5, 2) (D) (2, 5)

To find: We have to find which of the following is not the solution of given                                             equation  $2x-3y=4$

Explanation:

Step 1: For checking that the above solutions are the solution of given equation or not we have to place the value of x and y accordingly.

So, for (-1,-2) we will put $x=-1$ and $y=-2$ in the equation,

                                        $2x-3y=4$

                              $2(-1)-3(-2)=4$

                                          $-2+6=4$

                                                   $4=4$

∵                                          L.H.S. = R.H.S

∴ (-1,-2) is the solution of the given equation.

Step 2: For (-4,-4) we will put $x=-4$ and $y=-4$ in the equation,

                                         $2x-3y=4$

                              $2(-4)-3(-4)=4$

                                        $-8+12=4$

                                                   $4=4$

∵                                          L.H.S. = R.H.S

∴ (-4,-4) is the solution of the given equation.

Step 3: For (5,2) we will put $x=5$ and $y=2$ in the equation,

                                         $2x-3y=4$

                                    $2(5)-3(2)=4$

                                            $10-6=4$

                                                    $4=4$

∵                                            L.H.S. = R.H.S

∴ (5,2) is the solution of the given equation.

Step 4 :For (2,5) we will put $x=2$ and $y=5$ in the equation,

                                           $2x-3y=4$

                                      $2(2)-3(5)=4$

                                              $4-15=-11$    

      ∵                                       L.H.S. ≠ R.H.S

∴ (2,5) is not the solution of the given equation.

Hence, the (2,5) is not the solution of equation $2x-3y=4$.

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