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jarptica [38.1K]
2 years ago
8

PLEASE HELP, please write it out in the system of equations (step by step)

Mathematics
2 answers:
gizmo_the_mogwai [7]2 years ago
7 0

Answer:

{x,y}={-2,3}

Step-by-step explanation:

[1]    2x + y = -1

  [2]    x - 2y = -8  <------- given linear equations

Graphic Representation of the Equations : ----> given in attatchment

y + 2x = -1        -2y + x = -8  < ----- point where they connect is shown in graph

Solve by Substitution :

// Solve equation [2] for the variable  x

 [2]    x = 2y - 8

// Plug this in for variable  x  in equation [1]

  [1]    2•(2y-8) + y = -1

  [1]    5y = 15

// Solve equation [1] for the variable  y

  [1]    5y = 15

  [1]    y = 3

// By now we know this much :

   x = 2y-8

   y = 3

// Use the  y  value to solve for  x

   x = 2(3)-8 = -2

Solution :

{x,y} = {-2,3}

velikii [3]2 years ago
3 0

Answer:

Step-by-step explanation:

[1]    2x + y = -1

 [2]    x - 2y = -8  <------- given linear equations

Graphic Representation of the Equations : ----> given in attatchment

y + 2x = -1        -2y + x = -8  < ----- point where they connect is shown in graph

Solve by Substitution :

// Solve equation [2] for the variable  x

[2]    x = 2y - 8

// Plug this in for variable  x  in equation [1]

 [1]    2•(2y-8) + y = -1

 [1]    5y = 15

// Solve equation [1] for the variable  y

 [1]    5y = 15

 [1]    y = 3

// By now we know this much :

  x = 2y-8

  y = 3

// Use the  y  value to solve for  x

  x = 2(3)-8 = -2

Solution :

{x,y} = {-2,3}

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Please help! geometry problem 3!
Vilka [71]
Comment
|First of all, the triangles are equal by ASA the way the diagram has been marked.

B and E are both right angles.
Side BC = Side DE
<BCA =< EDA 

So triangle BCA = triangle EDA

Now to the letters.
x = y - 1                 Add 1 to both sides.
x + 1 = y                (1)
3x - 2 = 2y + 1       Subtract 1 from both sides.
3x -2 - 1 = 2y
3x - 3 = 2y             Divide by 2
3x/2 - 3/2 = 2y/2
1.5x - 1.5 = y    (2)

Step One
Since (1) and (2) both have y isolated on their respective right sides, they can be equated.

1.5x - 1.5 = x + 1       Take an x from both sides.
0.5x - 1.5 = x - x + 1
0.5x - 1.5 = 1           Add  1.5 to both sides.
0.5x =  1 + 1.5
0.5x = 2.5                 Divide 0.5 on both sides.
0.5x/0.5 = 2.5/0.5

x = 5

Now we need a y value.
x = y - 1 
5 = y - 1 Add 1 to both sides.
5 + 1 = y - 1 + 1
6 = y 

So the 2 sides and the 2 angles are equal when 
x = 5
y = 6

C Answer <<<<<<



 


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