Use the interval notation to express the solution -6x>42

Mathematics

1 answer:

ser-zykov [4K]2 years ago

6 0

divide each term by -6

x<-7

then convert in to interval

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What is the value of y in this system of equations: 3x + y = 9 y = –4x + 10 ?

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y = –4x + 10 (II)
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 $\left \{ {{3x + y = 9 } \atop {y = -4x + 10 }} \right.$

Pass the incognito "4x" to the first term, changing the signal when changing sides.
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simplify by (-1)
 $\left \{ {{3x + y = 9.(-1)} \atop {4x + y = 10 }} \right.$ 

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 $\left \{ {{- 3x - \diagup\!\!\!\!y =-9} \atop {4x + \diagup\!\!\!\!y = 10}} \right. 
$

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 $\left \{ {{- 3x = - 9} \atop {4x = 10}} \right.$ 

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Substitute in equation (I) to find the value of "Y".

3x + y = 9 (I)
3*(1) + y = 9
3 + y = 9
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$\boxed{y = 6}$

Answer:
$\boxed{\boxed{ \left \ {{x=1} \atop {y=6}} \right. }}$

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