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Mice21 [21]
3 years ago
11

X+2y=3 3x-2y=5 What is the solution to system of equations?

Mathematics
2 answers:
Ne4ueva [31]3 years ago
7 0

Answer:

x+2y=3;3x-2y=5  

Solution :

{x,y} = {2,1/2}  

 

System of Linear Equations entered :

  [1]    x + 2y = 3

  [2]    3x - 2y = 5

Graphic Representation of the Equations :

   2y + x = 3        -2y + 3x = 5  

 

 

Solve by Substitution :

// Solve equation [1] for the variable  x  

 

 [1]    x = -2y + 3

// Plug this in for variable  x  in equation [2]

  [2]    3•(-2y+3) - 2y = 5

  [2]     - 8y = -4

// Solve equation [2] for the variable  y  

  [2]    8y = 4  

  [2]    y = 1/2  

// By now we know this much :

   x = -2y+3

   y = 1/2

// Use the  y  value to solve for  x  

   x = -2(1/2)+3 = 2  

Solution :

{x,y} = {2,1/2}  

  Processing ends successfully  

Step-by-step explanation:

e-lub [12.9K]3 years ago
4 0

Answer:

x=2, y=1/2

Step-by-step explanation:

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Given the function f(x) = 2|x + 6| – 4, for what values of x is f(x) = 6?
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Answer:

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Step-by-step explanation:

| x | = x

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f(x) = 2 | x + 6 | - 4

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x = 1 , f( 1 ) = 2 | 1 + 6 | - 4 = 2 | 7 | - 4 = 14 - 4 = 10 , False

x = 11, f( 11 ) = 2 | 11 + 6 | - 4 = 2 | 17 | - 4 = 34 - 4 = 30 , False

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x = - 26 , f( - 26) = 2 | -26 + 6 | - 4 = 2 | -20 | - 4 = 40 - 4 = 36 , False

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                                                    OR

Given f ( x ) = 6

f( x ) = 2 | x + 6 | - 4

6  = 2 | x + 6 | - 4

6 + 4 = 2 | x + 6| - 4 + 4                 [ adding 4 to both sides ]

10 = 2 | x + 6 | + 0

5 = | x + 6 |                                    [ dividing both sides by 2 ]

- 5 =\  ( x+ 6) \ = 5\\\\                            [ \ | x | = a\  => \ -a \ =  x \ = a  \ ]

- 5 - 6 =  \ x + 6 - 6 \ = \ 5 - 6\\            [ \ subtracting \ by \ 6 \ ]

-11 = \ x \ =  - 1

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