Respuesta :
Answer:
Step-by-step explanation:
Given question is incomplete; here is the complete question,
Here is an equation that represents a function: 72x + 12y = 60.
Select all the different equations that describe the same function.
A). 120y + 720x = 600
B). y = 5 - 6x
C). 2y + 12x = 10
D). y = 5 + 6x
E). [tex]x=\frac{5}{6}-\frac{1}{6}y[/tex]
F). 7x + 2y = 6
G). [tex]x=\frac{5}{6}+\frac{y}{6}[/tex]
Option A.
720x + 120y = 600
[tex]\frac{1}{10}(720x+120y)=\frac{1}{10}(600)[/tex]
72x + 12y = 60
True.
Option B.
y = 5 - 6x
6x + y = 5
12(6x + y) = 12(5)
72x + 12y = 60
True
Option C.
2y = 12x + 10
-12x + 2y = 10
-6(-12x + 2y) = -6(10)
72x - 12y = -60
False
Option D.
y = 5 + 6x
-6x + y = 5
-12(-6x + y) = -12(5)
72x - 12y = -60
False.
Option E.
[tex]x=\frac{5}{6}-\frac{1}{6}y[/tex]
[tex]72x=72(\frac{5}{6}-\frac{1}{6}y)[/tex]
72x = 60 - 12y
72x + 12y = 60
True.
Option F.
7x + 2y = 6
6(7x + 2y) = 6(6)
42x + 12y = 36
False
Option G
[tex]x=\frac{5}{6}+\frac{1}{6}y[/tex]
[tex]72x=72(\frac{5}{6}+\frac{1}{6}y)[/tex]
72x = 60 + 12y
72x - 12y = 60
False
Options A, B and E are the correct options.
