ASAP QUESTIONS

What is the solution to the system of linear equations?
4x+3y=54
3x+9y=108
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What is the greatest common monomial factor of the expression 36x5y3+27x4y?  


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Factor.

x2+3x−18

 

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x2+3x−18=  (     )(      )

Respuesta :

1 ) We can solve the system:
4 x + 3 y = 54  / · ( - 3 )
3 x + 9 y = 108
----------------------
- 12 x - 9 y = - 162
    3 x + 9 y =  108
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 - 9 x = - 54               x = - 54 : ( - 9 ) = 6
 4 · 6 + 3 y = 54
 24 + 3 y = 54
  3 y = 54 - 24
  3 y = 30                   y = 30 : 3 = 10
 Answer:  ( x , y ) = ( 6, 10 )
2 ) The greatest common monomial factor:
36 x^5 y^3 + 27 x^4 y = 9 x^4 y ( 4 x y^2 + 3 )
Answer: 9 x^4 y.
3 ) Factor:
x² + 3 x - 18 = x² - 3 x + 6 x - 18 = x · ( x - 3 ) + 6 ( x - 3 ) =
= ( x - 3 ) · ( x + 6 )
 

Sorry only got the first one

Step-by-step explanation:

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