Question

Determine which ordered pair is a solution of y = x + 2/5 (< that's a fraction and so are those down dere)

(0,0)

(1,2/5)

(1,2/5)

(2,2 2/5)

Answer 1

The ordered pair which is a solution to the given equation is:

`(2,2(2)/(5))`

Explanation:

We are given a equation in terms of x as follows:

`y=x+(2)/(5)`

Now, we are asked to find which ordered pair is a solution to the given equation.

i.e. we will put each of the given points in the equation and see which holds true.

a)

(0,0)

we put x=0 and y=0 in the equation.

`0=0+(2)/(5)\\\\i.e.\\\\0=(2)/(5)`

which is not a true statement.

Hence, (0,0) is not a solution to the equation.

b)

(1,2/5)

we put x=1 and y=2/5

`(2)/(5)=1+(2)/(5)\\\\i.e.\\\\(2)/(5)=(5+2)/(5)\\\\(2)/(5)=(7)/(5)`

which is again incorrect.

Hence, (1,2/5) is not a solution to the equation.

c)

(2, 2 2/5)

Now, we put
`x=2\ and\ y=2(2)/(5)`

i.e.

`x=2\ and\ y=(12)/(5)`

Hence,

`(12)/(5)=2+(2)/(5)\\\\(12)/(5)=(2* 5+2)/(5)\\\\(12)/(5)=(12)/(5)`

which is correct.

Hence,

`(2,2(2)/(5))\ \text{is a solution to the given equation}`

Answer 2

Plug the x and y-values into the given equation. If it makes a true statement, then it is a solution.

y = x +
`(2)/(5)`

(0,0) → 0 = 0 +
`(2)/(5)` FALSE

(1,
`(2)/(5)`) →
`(2)/(5)` = 1 +
`(2)/(5)` FALSE

(2, 2
`(2)/(5)`) → 2
`(2)/(5)` = 2 +
`(2)/(5)` TRUE

Answer: (2, 2
`(2)/(5)`)