solve the following equation 5(z-4)-z=4z-20

Question

jhannybean · Answer

expand the LHS, what do you get?

anonymous · Answer

what does LHS stand for?

sleepyhead314 · Answer

Hello and Welcome to OpenStudy! :)
to solve for  z
 first  distribute the 5
can you do that?
what would you get?

anonymous · Answer

5z-20?

sleepyhead314 · Answer

yes :)
good!
then add like terms   5z - 20 - z = 4z - 20

sleepyhead314 · Answer

then... oh I see why you might be confused...
ok
then if you get   0=0 (a true statement) then there are in infinite number of solutions
if you get something like  0=-20 (a false statement) then there are no solutions

jhannybean · Answer

LHS stands for Left Hand Side.

Have you added the like terms?

skullpatrol · Answer

The equation has infinitely many solutions. You can write this as the solution set is the set of all real numbers. Because any number you substitute in for z will give you a true statement and thus satisfy the equation and be apart of its solution set, just like the equation y+2=2+y is true for all real numbers.