Respuesta :
From my research, the original equation Fiona wrote was "y = (2/5)x - 5". It also had choices as written below:
x – 5/4y = 25/4
x –5/2 y = 25/4
x –5/4 y = 25/2
x –5/2 y = 25/2
To obtain the possible equation Henry had written, the coefficient of x was removed, and the equation was placed in the form x + y = c. This is shown as follows:
y = (2/5) x – 5
[ y = (2/5) x – 5 ] (5/2)
(5/2)y = x - 25/2
x - (5/2)y = 25/2
Therefore, Henry's equation is x – (5/2) y = 25/2.
x – 5/4y = 25/4
x –5/2 y = 25/4
x –5/4 y = 25/2
x –5/2 y = 25/2
To obtain the possible equation Henry had written, the coefficient of x was removed, and the equation was placed in the form x + y = c. This is shown as follows:
y = (2/5) x – 5
[ y = (2/5) x – 5 ] (5/2)
(5/2)y = x - 25/2
x - (5/2)y = 25/2
Therefore, Henry's equation is x – (5/2) y = 25/2.
Answer:
Henry's Equation is
[tex]k.y=k.x-k.5\\where\: k\: can\: be\: any\: integer[/tex]
Step-by-step explanation:
Given: fiona's equation is y = x - 5 and Solution of fiona's equation and henry's equation are same.
To find: henry's equation
Two equation's have same solutions if one of the equation is multiple of other equation. ex,
y = x - 1 and 6y = 6x -6 or [tex]\frac{2}{5}y=\frac{2}{5}x-\frac{2}{5}[/tex]
Therefore, their are many posible equations of Henry. For general say Henry's Equation is
[tex]k.y=k.x-k.5\\where\: k\: can\: be\: any\: integer[/tex]