Question

what is the solution of the following system x-y=11,-x+y=-11
a. (-3,-4)
b. no solutions
c. infinitely many solutions
d(3,4)

Answer 1

Are these 2 different equations....or really the same equation?
Can you manipulate one of them to make the other?

Answer 2

i think so....

Answer 3

Yes. Take either equation.
Lets take the 2nd one.
Multiply both sides by -1
-1(-x+y) = -11 (-1)
x - y = 11..........and we have the 1st equation.
How many solutions are there for x - y = 11?

Answer 4

12 - 1 = 11
13 - 2 = 11
14 - 3 = 11
15 - 4 = 11
16 - 5 = 11
17.5 - 6.5 = 11
and on and on and on and on.............................

Answer 5

so its c right

Answer 6

correct. A linear equation like x - y = 11 always has infinite solutions.

Answer 7

thanks

Answer 8

no problem.