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love history [14]
3 years ago
7

Solve. −3(x+5)=−9 Enter your answer in the box.

Mathematics
2 answers:
dexar [7]3 years ago
7 0

Answer:

x = -2

Step-by-step explanation:

To solve for x in the equation - 3(x+5) = -9, we will follow the steps below:

First, we will start by opening the bracket

-3( x+ 5) = -9

-3x - 15 = -9

Next, is to add 15 to both-side of the equation

-3x - 15 + 15 = -9 + 15

-3x = 6

Divide both-side of the equation by -3

\frac{-3X}{-3} = \frac{6}{-3}

(On the left-hand side of the equation, -3 at the numerator will cancel-out -3 at the denominator leaving us with just x, while on the right-hand side of the equation, 6 will be divided by -3)

x = -2

Alexxx [7]3 years ago
5 0
-3x-15=-9
+15 +15
-3x=6
/-3 /-3

x=-2
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2 years ago
Easy math, but not sure what I did wrong.
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Answer:

8

Step-by-step explanation:

In his 5th year, he took 3 times as many exams as the first year.  So the number of exams taken in the 5th year must be a multiple of 3.

If a₁ = 1, then a₅ = 3.  However, this isn't possible because we need 4 integers between them, and a sum of 31.

If a₁ = 2, then a₅ = 6.  Same problem as before.

If a₁ = 3, then a₅ = 9.  This is a possible solution.

If a₁ = 4, then a₅ = 12.  If we assume a₂ = 5, a₃ = 6, and a₄ = 7, then the sum is 34, so this is not a possible solution.

Therefore, Alex took 3 exams in his first year and 9 exams in his fifth year.  So he took 19 exams total in his second, third, and fourth years.

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If a₂ = 6, then there's no solution.

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