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Firdavs [7]
3 years ago
14

Solve the system of the following equations:

Mathematics
2 answers:
Alina [70]3 years ago
7 0

Answer:

(5, \:  - 2)

Step-by-step explanation:

x + 3y =  - 1 \\ 2x + 2y = 6 \\ solve \: the \: equation \\  \\ x =  - 1 - 3y \\ 2x + 2y = 6 \\ substitute \: the \: value \: of \: x \: into \: an \\ equation. \\  \\ 2( - 1 - 3y) + 2y = 6 \\ distribute \\  \\  - 2 - 6y + 2y = 6 \\ add \:  - 6y \: to \: 2y \\  \\  - 2 - 4y = 6 \\ add \: 2 \: from \: both \: sides \\  \\  -  2y = 8 \\ divide \: both \: sides \: by \: 2 \\  \\ y =  - 2 \\ substitute \: the \: value \: of \: y \: into \: an  \\  equation. \\  \\ x =  - 1 - 3( - 2) \\ distribute \\  \\  - 1  + 6 \\ add \:  - 1 \: to \: 6 \\   \\  x = 5 \\  \\ (5, - 2)

schepotkina [342]3 years ago
4 0
The answer is (5,-2)
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Your bedroom is a square and each side of your bedroom is 8 feet long what is the area of your bedroom
Kisachek [45]
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5 0
3 years ago
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tangare [24]

Answer:

Adult: 50 tickets

Child: 34 tickets

Step-by-step explanation:

Let a be the amount of adult tickets

Let c be the amount of child tickets

Equation:

a + c = 84

14a + 9c = 1,006

Step 1: Multiply a + c = 84 with -9, to canceled c.

-9 (a + c = 84)    →  -9a - 9c = -756

14a + 9c = 1006 → 14a + 9c = 1006

Step 2: Combined the 2 equation together, and solved it.

-9a - 9c = -756

<u>14a + 9c = 1006</u>

       <u> 5a</u> = <u>250</u>

        5        5

           a = 50

Step 3: Plug 50 into the one of the equation, and solved it.

a + c = 84 → 50 + c = 84

                  <u>-50         -50</u>

                            c = 34

Answer: Adult tickets (a) = 50 and Child tickets (c) = 34

To check the answer plug the two number into the equation ( Make sure to add 50 for a and 34 for c).

3 0
3 years ago
Last answer choice is 5.0 WILL MARK BRAINLIEST PLEASE
Bezzdna [24]

Answer:

3.5 is the correct answer

6 0
3 years ago
Can anybody help with this one ...... ?
VLD [36.1K]

Answer:The answer is choice 3

Step-by-step explanation:

8 0
3 years ago
What is the solution to the equation below? riund your answer to two decimal places. (24) log(3x) = 60
Amanda [17]

The answer is:  " x = 105.41 " . 

_____________________________________________

Explanation:

_____________________________________________

Given:   " 24 log (3x) = 60 " ;  Solve for "x" .

The default is to assume "base 10" for the "logarithm". 

_____________________________________________

Start by dividing each side of the equation by "24" ; 

       →   [ 24 log(3x) ] / 24  = 60 / 24 ; 

to get:  

_____________________________________________

 log (3x)  = 2.5 ;

_____________________________________________

Rewrite as:  log₁₀ (3x) = 2.5 ;  

_____________________________________________

Using the property of logarithms:

⇔    10⁽²·⁵⁾  =   3x  ;  

↔   3x = 10⁽²·⁵⁾   ;

         →  10^ (2.5) = 316.2277660168379332 ;

     →  3x = 316.227766016837933 ;  

Divide each side of the equation by "3" ;

  to isolate "x" on one side of the equation;

      and to solve for "x" ;

    →  3x / 3 =  316.2277660168379332 / 3  ;

to get:

    →   x = 105.4092553389459777333 ;

    →  round to 2 (two) decimal places;

_____________________________________________

         →   " x = 105.41 " .

_____________________________________________

 Hope this helps!

    Best wishes to you!

_____________________________________________

8 0
3 years ago
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