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

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. $x- \frac{5}{2} y=\frac{25}{2}$

Step-by-step explanation:

Given:

Fiona's equation = $y = \frac{2}{5}x-5$

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

$y = \frac{2}{5}x-5$

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.

$y = \frac{2}{5}x-5\\\\5 = \frac{2}{5}x -y\\\\\frac{2}{5}x -y= 5$

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;

$(\frac{5}{2} )\frac{2}{5}x -\frac{5}{2} y=5\times \frac{5}{2} \\\\x-\frac{5}{2} y=\frac{25}{2}$

Hence Henry equation will be $y=\frac{25}{2}$.

Answer 2

Answer:

D.  

Edg 2020, Have a good day!