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OverLord2011 [107]
2 years ago
15

Is the point (2,1) a solution to the following system? 3x-2y=6. x+y=2

Mathematics
2 answers:
Gwar [14]2 years ago
8 0

Answer:

No

Step-by-step explanation:\neq

Hi,

I believe this is the explanation to the answer.

First of all, we must understand what is meant by a "solution" to a "system." A solution to a system means whatever solutions you get for x and y should be able to satisfy both of the equations in the system.

In here, we have the point (2,1). To test whether it satisfies the two equations in the system, simply plug in the values!

3(2) - 2(1) = 6 - 2 = 4

As you can see, 4 \neq 6. Let's look at the other equation.

(2) + (1) = 3

Again, as you can see, 3 \neq 2.

Hence, this point (2,1) does not satisfy the two equations, so it's definitely not a solution.

Alina [70]2 years ago
6 0

Answer:

yes

Step-by-step explanation:

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0.66666667 as a fraction
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Answer:

__________________________________________

    The correct answer is:   " \frac{2}{3} " .

__________________________________________

Note:  Let's assume that this given decimal value  is really:

"0.66666666666666666....."  ;

(non-terminating; but repeating the singing digit, "7" ; yet rounded to:

" 0.66666667 " ;  

then:  " 0.666... "    = \frac{666}{999}  ;

                             

                               =  (666 ÷ 111) / (999 ÷ 111)  ;

                               =  6/9 ;

                              = (6÷3)/(9÷3)  ;

                               =   2/3 ;

                             

                               =   " \frac{2}{3} "

 

                              →  which is our answer.

____________________________________________

 Or:   " 0.6666... "  =  666 ÷ 999 = ?  ;

                        using calculator :

                               =  0.66666667 ;  

        →  which is the "rounded off" number of "0.6666..." ;

                                                                — (infinitely repeating) ;

                  →   So 666 ÷ 999 =

                  →   "  \frac{666}{999} " ;

               

                               =  " \frac{2}{3} " ;  

                               →  Either use a "fraction calculator" ;

       or simplify as aforementioned.    

____________________________________________

Hope this answer is helpful to you!

       Best wishes to you in your academic pursuits

              — and within the "Brainly" community!

____________________________________________

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