Answer:
Simplifying
x = 11
Step-by-step explanation:
Simplifying
6x + -27 = 39
Reorder the terms:
-27 + 6x = 39
Solving
-27 + 6x = 39
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '27' to each side of the equation.
-27 + 27 + 6x = 39 + 27
Combine like terms: -27 + 27 = 0
0 + 6x = 39 + 27
6x = 39 + 27
Combine like terms: 39 + 27 = 66
6x = 66
Divide each side by '6'.
x = 11
Simplifying
x = 11
If
is an integer, you can use induction. First show the inequality holds for
. You have
, which is true.
Now assume this holds in general for
, i.e. that
. We want to prove the statement then must hold for
.
Because
, you have
and this must be greater than
for the statement to be true, so we require
for
. Well this is obviously true, because solving the inequality gives
. So you're done.
If you
is any real number, you can use derivatives to show that
increases monotonically and faster than
.
The only thing you can do with this expression is to factor a 5 out of the two terms: we have
Answer:
Step-by-step explanation:
Answer: {x,y} = {2,-4}
[1] x - y = 6
[2] 2x + y = 0
Step-by-step explanation: