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2 years ago

Solve and show your work 1. -3(x - 2) <1/3

Mathematics

1 answer:

Nutka1998 [239]2 years ago

3 0

Answer:

x>17/9

Step-by-step explanation:

-3(x-2) < 1/3

-3x+6 < 1/3

-3x < 1/3-6

-3x < -17/3

x > 17/9

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2 years ago

The sum of two integers is 33. The larger is 6 more than twice the smaller. Find the two

grandymaker [24]

Answer:

24 and 9

Step-by-step explanation:

Hi there!

Let x be equal to the larger integer.

Let y be equal to the smaller integer.

1) Construct equations

$x+y=33$ (The sum of two integers is 33)
$x=6+2y$ (The larger is 6 more than twice the smaller)

2) Solve for one of the integer

Isolate x in the first equation

$x+y=33\\x=33-y$

Plug the first equation into the second

$33-y=6+2y$

Combine like terms

$33-6=2y+y\\27=3y\\9=y$

Therefore, the smaller integer is 9.

3) Solve for the other integer

$x+y=33$

Plug in y (9)

$x+9=33\\x=33-9\\x=24$

Therefore, the larger integer is 24.

I hope this helps!

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