Classify the system of equations and identify the number of solutions 3 = 4x + y 2y = 6 − 8x

Answer 1

The System of equations are 

3  =  4x + y  =======>  4x + y  =  3 -------------> (1)

2y  =  6 - 8x  =======>  8x + 2y  =  6 --------------> (2)

From Eq (2)

2(4x + y)  =  6      

(4x + y)  =  6/2   

4x + y  =  3  --------------> (3)

 

Eq (1) and Eq (3) are collinear.

 

Hence, The system of equations has infinitely many solutions

 

Answer :

 

Infinitely Many Solutions.