Answer: k=0
Step-by-step explanation:
Infinitely many solutions means that no matter what it will be equal on the left of the equation as well the right.
For example:
5 = 5 or
8x = 8x or
8x+3 =8x+3
All of these equations will always be the same(true/equal) not matter what you plug in for x.
For
5kx + 3 = 3 (k + 1) >Simplify first lets distribute
5kx + 3 = 3k +3 >by deduction what could you plug in for k that would make both sides equal no matter what. If k=0 then the right and left sides will always be equal.
So k=0 is your answer