Question

Fiona wrote the linear equation y = y equals StartFraction 2 over 5 EndFraction x minus 5.x – 5. When Henry wrote his equation, they discovered that his equation had all the same solutions as Fiona’s. Which equation could be Henry’s?

Answer 1

D.

Edg 2020, Have a good day!

Answer 2

Question is Incomplete, Complete question is given below;

Fiona wrote the linear equation y = 2/5 X -5. When Henry wrote his equation they discovered that his equation had all the same Solutions as fionas. which equation could have been Henry's.

A. X- 5/4y =25/4

B. X-5/2y=25/4

C. X-5/4y =25/4

D. X- 5/2y=25/2

Answer:

D.
`x- (5)/(2) y=(25)/(2)`

Explanation:

Given:

Fiona's equation =
`y = (2)/(5)x-5`

We have to figure out which of the choices equals the equation given,

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

Now we could solve each of the answer choices for
`y`, but since each choice is in the format
`x - (m)y = b`, we can put the given equation in that format too.

`y = (2)/(5)x-5\\\\5 = (2)/(5)x -y\\\\(2)/(5)x -y= 5`

Now in given choices x doesn't have any terms with it.

Hence we will make x term as 1 by dividing 5/2 on both side we get;

`((5)/(2) )(2)/(5)x -(5)/(2) y=5* (5)/(2) \\\\x-(5)/(2) y=(25)/(2)`

Hence Henry equation will be
`y=(25)/(2)`.