Solve the given system, using the substitution method.

y = 4x – 6

8x – 2y = 14

A.

(14, 12)

B.

(12, 14)

C.

There are an infinite number of solutions.

D.

There is no solution.

Question

Solve the given system, using the substitution method.
 

y = 4x – 6

8x – 2y = 14
 
  
 
 

 
 

  

  A. 
 
(14, 12)
   
   

 
 

  

  B. 
 
(12, 14)
   
   

 
 

  

  C. 
 
There are an infinite number of solutions.
   
   

 
 

  

  D. 
 
There is no solution.

anonymous · Answer

plug the first line in the second one, ie, substitute for y.

$$8x - 2(4x - 6) = 14$$
solve for x.

once you have x you can plug that in the first line to solve for y.

your solution is in the form (x, y)

anonymous · Answer

if you get an incorrect equation, like in this case:

12 = 14 (which is obviously false), this means there is no solution