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umka21 [38]
3 years ago
13

Name the property that justifies the statement: If 3x = 6 then x = 2.

Mathematics
2 answers:
Anna35 [415]3 years ago
6 0

Answer:

<h2><em>Multiplication Property of Equality.</em></h2>

Step-by-step explanation:

Multiplication Property of Equality: If we multiply both side of an equation by the same non-zero value,the resulting statement is still an equation and it has the same solution set as the original equation.

in the following given question we have the equation 3 x=6; we could seee that in both the sides we have 3 as a common factor. so we'll multiply both sides by \frac{1}{3} to obtain x=2.

hence we get the desired result corresponding to the equation 3x=6.

SVETLANKA909090 [29]3 years ago
5 0
The property is  Multiplication Property of Equality.
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Solve the inequality |6x + 2| &lt; 10 and graph its solution.
mars1129 [50]
This is a modulus inequality.
First part: when (6x + 2) is positive
6x + 2 < 10
6x < 10 - 2
6x < 8
x < 8/6
x < 4/3

Second part: when (6x + 2) is negative.

-(6x + 2) < 10   Divide both sides of inequality by -1 and change the sign.

  (6x + 2) > -10
   6x + 2 > -10
   6x > -10 - 2
   6x > -12        Divide both sides by 6.
     x > -12/6
     x > -2.

Combined solution:   x < 4/3  and x > -2

  -2 < x < 4/3.

Graph is a line on the number line between -2 and 4/3.  
 
-2 and 4/3 are excluded from solution.
8 0
3 years ago
Which angle is an exterior angle of the triangle?
Monica [59]

Answer:

What triangle

Step-by-step explanation:

3 0
3 years ago
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tia_tia [17]

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8 0
2 years ago
a number is equal to twice a smaller number plus 3. The same number is equal to twice the sum of the smaller number and1. How ma
NeX [460]

Answer:

There is NO solution

Step-by-step explanation:

Considering 'y' be the number

Considering x be the smaller number

As 'y' is equal to twice a smaller number plus 3.

so

y = 2x + 3

also

y is equal to twice the sum of the smaller number and 1.

so

y = 2x + 1

so the system of equations become

y = 2x + 3

y = 2x + 1

solving

\begin{bmatrix}y=2x+3\\ y=2x+1\end{bmatrix}

\mathrm{Subsititute\:}y=2x+1

\begin{bmatrix}2x+1=2x+3\end{bmatrix}

\mathrm{Refine\:}2x+1=2x+3

-2=0

-2=0\:\mathrm{\:is\:false,\:therefore\:the\:system\:of\:equations\:has\:no\:solution}

\mathrm{No\:Solution}

Therefore, there is NO solution.

7 0
3 years ago
R/3+2=21 solve for r
olchik [2.2K]

Answer:

r=63

Step-by-step explanation:

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

                    r/3-(21)=0             r

Simplify   —

           3

r    

 — -  21  = 0

 3     2.1   Subtracting a whole from a fraction

Rewrite the whole as a fraction using  3  as the denominator :

         21     21 • 3

   21 =  ——  =  ——————

         1        3  

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

7 0
3 years ago
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