Question

Choose the pair of numbers that is not a solution to the given equation. . (1, 2) (4, 3) (0, 1/3)

Answer 1

can you give me the equation?

Answer 2

(1, 2)

Explanation:

Just plug into the equation any number. It is preferred to always start with 0, and then make your way up consecutively. For this question, I'll only be writing the x values that are mentioned in the question.

Equation:
`y = (2x + 1)/(3)`

First value of x = 0

`y = (2(0) + 1)/(3)` ⇒ Substitute it into the equation

`y = (0 + 1)/(3)`

`y = ( 1)/(3)`

∴
`(0, (1)/(3))`

Second value of x = 1

`y = (2(1) + 1)/(3)` ⇒ Substitute it into the equation

`y = (2 + 1)/(3)`

`y = (3)/(3)`

`y = 1`

∴
`(1, 1)`

Third value of x = 4

`y = (2(4) + 1)/(3)\\` ⇒ Substitute it into the equation

`y = (8 + 1)/(3)`

`y = (9)/(3)`

`y = 3`

∴
`(4, 3)`

When comparing our answers to the ones given in the question, everything matches except the first option; (1, 2).

Therefore, from the pairs of numbers given, (1, 2) is not a solution.