MATH HELP EQUATIONS

Question

Identify the system of equations which has no solution.

A. -x = 3y + 1
     X= 3y - 1

 

B. x - 2y = -6
   2x = 4y - 12

 

C. x = 2y - 1
    2x = 4y

 

D. 5x + 2y = 4
    2x - 2y = 10

Answer 1

Look at option C. If x = 2y - 1, then we should be able to plug this into the second equation and return a true statement. 

 

2x = 4y

 

2(2y - 1) = 4y

 

4y - 2 = 4y   (Subtract 4y from both sides)

 

-2 = 0 is not a true statement. 

 

The system of equations in C. have no solution.

Answer 2

B. Second equation is the multiple of the first. They are dependent.

C. Has no solution - same slope, different y-intercepts.