Question

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=   (     )(      )

Answer 1

Sorry only got the first one

Explanation:

Answer 2

1 ) We can solve the system:
4 x + 3 y = 54 / · ( - 3 )
3 x + 9 y = 108
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- 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 )