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Romashka-Z-Leto [24]
3 years ago
15

Systems of equations have one solution. I am thinking sometimes, am I right?

Mathematics
1 answer:
Nutka1998 [239]3 years ago
4 0
Of course, the three cases are no solutions, one solution, or infinitely many.
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Use your knowledge of similar triangles to solve for x
MrMuchimi

9514 1404 393

Answer:

  x = 10 2/3

Step-by-step explanation:

The ratios of corresponding sides are the same, so we have ...

  x/8 = 8/6

  x = 8·(8/6) = 64/6

  x = 10 2/3

6 0
2 years ago
Solve the system of equations 5x+9y+9z=5 4x+9y+6z=10 2x+2y+5z=9
erma4kov [3.2K]

Answer:

{x,y,z} = {-116,28,37}

Step-by-step explanation:

// Solve equation [3] for the variable  z  

 

 [3]    5z = -2x - 2y + 9

 [3]    z = -2x/5 - 2y/5 + 9/5

__________________________________________________________

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

  [1]    5x + 9y + 9•(-2x/5-2y/5+9/5) = 5

  [1]    7x/5 + 27y/5 = -56/5

  [1]    7x + 27y = -56

__________________________________________________________

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

  [2]    4x + 9y + 6•(-2x/5-2y/5+9/5) = 10

  [2]    8x/5 + 33y/5 = -4/5

  [2]    8x + 33y = -4

__________________________________________________________

// Solve equation [2] for the variable  y  

 

 [2]    33y = -8x - 4

 [2]    y = -8x/33 - 4/33

__________________________________________________________

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

  [1]    7x + 27•(-8x/33-4/33) = -56

  [1]    5x/11 = -580/11

  [1]    5x = -580

__________________________________________________________

// Solve equation [1] for the variable  x  

  [1]    5x = - 580  

  [1]    x = - 116

__________________________________________________________

// By now we know this much :

   x = -116

   y = -8x/33-4/33

   z = -2x/5-2y/5+9/5

__________________________________________________________

// Use the  x  value to solve for  y  

   y = -(8/33)(-116)-4/33 = 28

__________________________________________________________  

// Use the  x  and  y  values to solve for  z  

 z = -(2/5)(-116)-(2/5)(28)+9/5 = 37

╦────────────────────────────╦

│Hope this helped  _____________________│    

│~Derelis ____________________________ │

╨___________________________________╨                  

4 0
3 years ago
Find u -2v given u = (-2, 5) and v = 6i -4j
Arisa [49]

Answer:

A. U - 2v = -14i +13j


Step-by-step explanation:

If u = (-2, 5) and v = 6i -4j

Then 2v = 2*(6i-4j) = 12i-8j

u-2v =  -2i +5j  - (6i -4j)

Distribute the minus sign  

        -2i +5j -6i+4j

-2i +5j

-12i + 8j

---------------

-14i +13j

6 0
3 years ago
Given AB = 3x + 3 and BC = 2x + 9
BartSMP [9]

Answer:

x=6

Step-by-step explanation:

AB=BC

3x+3=2x+9

x=6

5 0
3 years ago
What does this symbol mean in math ≈ ?
weeeeeb [17]
Approximately equal to symbol
And it’s mostly used in terms of numerical approximations
6 0
2 years ago
Read 2 more answers
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