This question is based on the system of equation. Therefore, the correct options are (C) i.e. y=-1/6x+3 and (E) i.e. y = 1/2x-1, are the equations of solution to the system is (6,2).
Given:
The solution to the system is (6,2).
We need to select all the equations that could be the other equation in the system.
For solving this question, we will be putting the given co-ordinates in the given options and check.
A. y = - 3x
Putting the co-ordinates (6,2).
We get,
2 [tex]\bold{\neq}[/tex] -18
B. y=-3/2x+6
Putting the co-ordinates (6,2).
We get,
2 [tex]\bold{\neq}[/tex] -3
C. y=-1/6x+3
Putting the co-ordinates (6,2).
We get,
2 = 2
D. y=2/3x-1
Putting the co-ordinates (6,2).
We get,
2 [tex]\bold{\neq}[/tex]3
E. y=1/2x-1
Putting the co-ordinates (6,2).
We get,
2= 2
F. y=4x-2
Putting the co-ordinates (6,2).
We get,
2[tex]\bold{\neq }[/tex] 22
Therefore, the correct options are (C) i.e. y=-1/6x+3 and (E) i.e. y=1/2x-1, are the equations of solution to the system is (6,2).
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