How many solutions are there to the equation y = 14x – 9?

Explain your answer.

A.

There are no solutions because no value can be used for the variable x for the equation to remain true.

B.

There is one solution because only one value can be used for the variable x for the equation to remain true.

C.
There are 2 solutions because only 2 values can be used for the variables for the equation to remain true.

D.

There are an infinite number of solutions because any value can be used for the variable x and the equation would remain true.

Question

How many solutions are there to the equation y = 14x – 9? 

 

Explain your answer.
	
	
 
A.
	

There are no solutions because no value can be used for the variable x for the equation to remain true.

	
 
B.
	

There is one solution because only one value can be used for the variable x for the equation to remain true.
	
 
C.
	There are 2 solutions because only 2 values can be used for the variables for the equation to remain true.
	
 
D.
	

There are an infinite number of solutions because any value can be used for the variable x and the equation would remain true.

mrnood · Answer

I am not sure I agree with the teminolgy - this equation cannot be considered to be 'true' because there is no definitive statement implicit in it.

It is the equation of a straight line ( of the form y = mx +b). the graph of the equation and is sketched below:

|dw:1431640672788:dw|

What CAN be said is that for ANY value of x there is a valid value of y