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morpeh [17]
3 years ago
9

Find the value of a and b so that the pair of values (2, -3) is a solution of the system

Mathematics
2 answers:
FinnZ [79.3K]3 years ago
7 0
X = 2 y =-3 Plug these values in;-

2 - 3b = 5
2a + 9 = -1

from first equation -3b = 3  so b = -1
from second equation 
2a = -10 so a = -5
DaniilM [7]3 years ago
6 0
Since (2, -3) is a solution, that means x = 2 and y = -3 would satisfy the equations.

x + by = 5                                              Ax - 3y = -1

2 + b*-3 = 5                                          A*2 - 3*-3 = -1

2 - 3b =5                                              2A + 9 = -1

-3b = 5 - 2                                            2A = -1 - 9  

-3b = 3                                                  2A = -10

b = 3/-3                                                    A = -10/2 

b = -1                                                        A = -5

b = -1 and A = -5

Hope this helps.
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Describe how to transform the graph of g(x)= ln x into the graph of f(x)= ln (3-x) -2.
Strike441 [17]

Answer:

The graph of g(x) = ㏑x translated 3 units to the right and then reflected

about the y-axis and then translated 2 units down to form the graph of

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Step-by-step explanation:

* Lets talk about the transformation

- If the function f(x) reflected across the x-axis, then the new

 function g(x) = - f(x)

- If the function f(x) reflected across the y-axis, then the new

 function g(x) = f(-x)

- If the function f(x) translated horizontally to the right  

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- If the function f(x) translated horizontally to the left  

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- If the function f(x) translated vertically up  

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- If the function f(x) translated vertically down  

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* lets solve the problem

∵ Graph of g(x) = ㏑x is transformed into graph of f(x) = ㏑(3 - x) - 2

- ㏑x becomes ㏑(3 - x)

∵ ㏑(3 - x) = ㏑(-x + 3)

- Take (-) as a common factor

∴ ㏑(-x + 3) = ㏑[-(x - 3)]

∵ x changed to x - 3

∴ The function g(x) translated 3 units to the right

∵ There is (-) out the bracket (x - 3) that means we change the sign

  of x then we will reflect the function about the y-axis

∴ g(x) translated 3 units to the right and then reflected about the

   y-axis

∵ g(x) changed to f(x) = ㏑(3 - x) - 2

∵ We subtract 2 from g(x) after horizontal translation and reflection

  about y-axis

∴ We translate g(x) 2 units down

∴ g(x) translated 3 units to the right and then reflected about the

   y-axis and then translated 2 units down

* The graph of g(x) = ㏑x translated 3 units to the right and then

  reflected about the y-axis and then translated 2 units down to

  form the graph of f(x) = ㏑(3 - x) - 2

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