find the value of k such that the system has infinite number of solutions
(k-1)x - y = 5
(k+1)x + (1-k)y = (3k+1)
plzz solve it wholly
thnks in advance
i am aquinted with the process of taking 3 cases and show the common value of k in all is the answer. so it will be helpful if u solve it with this process. i am having problem with factorising so plzz solve it wholly.
i understands it but i want to do all the sums by the same process
my process is
case1 -
for terms 1 and 2 i have to show the value of k
case 2
for terms 2 and 3 i have to show the value of k
case 3
for terms 1 and 3 i have to show the value of k
now the common value of k in all is the answer.
Hi saha.subham,
If then
ad = bc.
Similarly, can you simplify
=
Ah, it wasn't clear to me that you knew how to write the equations but not solve them. I did not know that the three cases you mentioned were the ones I wrote down. Please try to be a little more specific in the future, and show work; you would have gotten the guidance you needed a lot sooner that way.
I figured since solving systems of equations is more advanced than cross multiplying that you knew the procedure. Hopefully with sa-ri-ga-ma's post you will now have what you require to complete the problem.
Best regards.
Edit: Maybe by "factorising" you meant applying the distributive property? For example if you wanted to solve
you would need to distribute as follows
Or further on, there is a place to factor out a .
Of course it's much easier to just solve
and plug in the value of you find to make sure it satisfies
Anyway, this is a complete solution to one of the three cases you mentioned, so now you really should have all the tools you need to solve the other cases.