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Rainbow [258]
3 years ago
10

What is the value of n. 6(x – 1) = 9(x + 2)

Mathematics
2 answers:
Oduvanchick [21]3 years ago
8 0

Answer:

x=−8

Step-by-step explanation:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    6*(x-1)-(9*(x+2))=0

(6 • (x - 1)) -  9 • (x + 2)  = 0

6 • (x - 1) -  9 • (x + 2)  = 0

Pull out like factors :

-3x - 24  =   -3 • (x + 8)

-3 • (x + 8)  = 0

Solve :    -3   =  0

This equation has no solution.

A a non-zero constant never equals zero.

Solve  :    x+8 = 0

Subtract  8  from both sides of the equation :

  x = -8

diamong [38]3 years ago
6 0

6(x-1) = 9(x+2)

Use distributive property on both sides:

6x-6 = 9x + 18

Subtract 6x from both sides:

-6 = 3x + 18

Subtract 18 from both sides:

-24 = 3x

Divide both sides by 3:

X = -8

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Read 2 more answers
HELP NEEDED IMMEDIATELY! I'M GETTING DESPERATE!
TiliK225 [7]

Answer:

The number of different possible values are {-7,-6,-5,-4,-3,-2,-1,0,1,2,3,4,5,6,7}.

Step-by-step explanation:

Given : For an integer n, the inequality  \[x^2 + nx + 15 < 0\]  has no real solutions in x.

To find : The number of different possible values of n ?

Solution :

The given inequality is   \[x^2 + nx + 15 < 0\] have no solution then the discriminant must be less than zero.

i.e. b^2-4ac

Here, a=1, b=n and c=15

{n}^{2}  - 4 \times 1 \times 15  \: <  \: 0

{n}^{2}  - 60  \: <  \: 0  

n^2

n

n

i.e. - 7.75 \:  <  \: n \:  <  \: 7.75

The integer values are {-7,-6,-5,-4,-3,-2,-1,0,1,2,3,4,5,6,7}.

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