Question

If possible, solve each system of equations. Use any method. If there is not a unique solution to a system , state a reason.
3x-11y=9
-9x + 33y =18

Need the steps please.

Answer 1

ok, which method you want to use? elimination or substitution?

Answer 2

both

Answer 3

ok let's use elimination first
3x-11y=9 x3 -> 9x-33y=27
-9x + 33y =18
do addition,
9x-9x-33y+33y=27+18
0=45

both x and y are eliminated, so the system doesn't have solutions

Answer 4

no unique solution as both variables are eliminated ie one equation is a product/multiple of the other
not a true system

Answer 5

Thanks a lot

Answer 6

now we'll do substitution
3x-11y=9
3x= 9+11y
x=3 + 11/3y

-9x + 33y =18
-9(3 + 11/3 y) + 33y = 18
-18 -33y+33y = 18
we can't find y, so we also can't find x
this prove that the system doesnt have solution

Answer 7

Thanks.