Q:

*Please Help!* (Guaranteed Brainliest for correct answer!)Which equation has no solution?A. 13y+2-2y=10y+3-yB. 9(3y+7)-2=3(-9+9)C. 32.1y+3.1+2.4y-8.2=34.5y-5.1D. 5(2.2y+3.4)=5(y-2)+6y

Accepted Solution

A:
In this sort of situation, an equation has no solution if the variables cancel each other out and it has a non-zero solution, and so we can do this by inspection, looking for the ys on the LHS to cancel those on the RHS.

A has 13 on one side and 9 on the other so will have a solution
B only has a positive y on one side so will have a solution
C - the variables cancel so we will have to do it properly:
[tex]34.5y-5.1=34.5y-5.1 \\ 0=0[/tex]
This means that whilst the variables cancel, it comes to a valid solution (0=0) which means this has infinite solutions for y. Since you can stick any value of y in and it will always return 0=0

D - Again the variables cancel:
[tex]11y+17=11y-10 \\ 0=+-27[/tex]
This is an invalid equation as 0 obviously does not equal 27. Therefore, this equation has no solutions, meaning this is the correct answer.