Question

Choose the pair of numbers that is not a solution to the given equation.

Answer 1

The answer to this would be (0,3), Since if we were to replace the values and change 2(x) to 2(0) and change Y to (3) the equation would be false. 3=5-0 which simplifies to 3=5.. That's false and impossible. 1=5 - 2(3) is true because 2x3 equals 6 and 5-6 equals 1 which is true. So that eliminates A).Now 2=5-2(1) would be 2 x 1 equals 2 and that simplifies to 2=5-2 which is basically 5-2 and that would simplify to 3 which would be 2=3 this is false now if we change the X & Y and make into 1=5-2(2) which would be 2x2 equals 4 and now 4-5 equals 1 this is true! (0,3) Regardless of placement is still false. Let me know if you need me to explain more. Hope this helped you :)

Answer 2

Answer:  The correct option is

(C) (0, 3).

Step-by-step explanation:  We are given to choose the pair of numbers that is not a solution to the following equation :

$y=5-2x~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)$

If a point is not a solution to the given equation, then it will not satisfy the equation.

Option (A) :  The given point is (x, y) = (1, 3).

We have

$R.H.S.=5-2x=5-2\times1=5-2=3=y=L.H.S.$

So, (1, 3) is a solution to the given equation.

Option (B) :  The given point is (x, y) = (2, 1).

We have

$R.H.S.=5-2x=5-2\times2=5-4=1=y=L.H.S.$

So, (2, 1) is a solution to the given equation.

Option (C) :  The given point is (x, y) = (0, 3).

We have

$R.H.S.=5-2x=5-2\times0=5-0=5\neq3=y=L.H.S.$

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

Thus, option (C) is CORRECT.