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igor_vitrenko [27]
3 years ago
7

Five times a number minus - 11 is equal to 16 minus the number

Mathematics
1 answer:
Kruka [31]3 years ago
7 0

I'm probably late but I'm going to solve it anyway.

Let n = "a number." We will use it to translate the words into an equation.

"five times a number" translates to 5 * n or 5(n) or 5n. I will use the last one.

"minus - 11" is - (- 11)

"16 minus the number" is 16 - n

Now set everything in place and solve:

5n - (- 11) = 16 - n

First, simplify. The two negatives right next to each other, - (- 11) is like multiplying by a negative. A negative times a negative is a positive.

5n + 11 = 16 - n

Now, subtract 11 from both sides and add n to both sides to get constants on one side of the equal sign and variables on the other:

5n + n = 16 - 11

Combine like terms:

6n = 5

Divide by 6 on both sides to isolate the variable:

n = 5/6

Your number is 5/6

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