Question

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 1

The equation of the graph is given as y = (2/5)x - 5.

You have to figure out which of the choices equals the equation given,
y = (2/5)x - 5.
You could solve each of the answer choices for y, but since each choice is in the format x - (m)y = b, you can put the given equation in that format too.

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

Answer 2

The equation of Henry wrote will X- (5/2)y=25/2 be the same as Fione.

What is an equation?

A mathematical statement known as an equation is made up of two expressions joined together by the notation.

Equations come in two varieties: identities and conditional equations.

the collection of variables, factors, and mathematical calculations such as addition, subtraction, multiplication, or division that are all neutralized by the assignment operator.

In another word, an equation is the set of variables that could be in with positive or negative or something like that so if you just write something and you are sure of that then that will be an equation.

Given that the equation of Fiona is

⇒ y = (2/5) X -5

⇒  y + 5 = (2/5) X

⇒  X- (5/2)y=25/2 hence X- (5/2)y=25/2 will be the correct answer.

For more about the equation

https://brainly.com/question/10413253

#SPJ5