<span>let the numbers be 2n-2,2n,2n + 2 then sum of squares will be 12 n ^2 + 8 = 116 which implies n = 3.numbers are 4,6,8 </span>
Answer:
(- 6, 0 )
Step-by-step explanation:
Given the 2 equations
3x + 2y = - 18 → (1)
2x + 9y = - 12 → (2)
Multiplying (1) by 2 and (2) by - 3 and adding will eliminate the term in x, that is
6x + 4y = - 36 → (3)
- 6x - 27y = 36 → (4)
Add (3) and (4) term by term to eliminate x
- 23y = 0
y = 0
Substitute y = 0 into either of the 2 equations and evaluate for x
Substituting into (1)
3x + 0 = - 18
3x = - 18 ( divide both sides by 3 )
x = - 6
Solution is (- 6, 0 )
Answer:

Step-by-step explanation:
If two values are inversely proportional, their product must be maintained. That way, if one value goes up, the other goes down by the same extent.
Therefore, if
and
vary inversely, their product will be the same for all values of
and
.
Let
and
as given in the problem. Substitute values:

Hence, the maintained product is
.
Thus, we have the following equation:

Substitute
to find the value of
when
:

move the 3 to the 7 side. it will become negative.
9x-5x=7-3
4x=4
x=1