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nevsk [136]
3 years ago
10

Solve for w. 2w−5(w+1)=3w+1

Mathematics
2 answers:
vichka [17]3 years ago
4 0
W=-1

i hope that this helps
zzz [600]3 years ago
4 0

Answer:

w=-1.

Step-by-step explanation:

We have been given an equation 2w-5(w+1)=3w+1. We are asked the equation for w.

Using distributive property a(b+c)=ab+ac, we will get:

2w-5w-5=3w+1

-3w-5=3w+1

Subtract 3w from both sides:

-3w-3w-5=3w-3w+1

-3w-3w-5=1

Combine like terms:

-6w-5=1

Add 5 on both sides:

-6w-5+5=1+5

-6w=6

Divide both sides by -6:

\frac{-6w}{-6}=\frac{6}{-6}

w=-1

Therefore, our required equation would be w=-1.

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Step-by-step explanation:

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The product of two consecutive integers is 5 more than three time the larger. What are the integers?
kvasek [131]
When calculating consecutive integers, the smaller number is x and the larger number is (x + 1).
So the equation you can use is x + (x + 1) = 5 + 3(x + 1)
This is because the sum of the consecutive integers are equal to 5 more than 3 times the larger integer.
Now simplify:
x + (x + 1) = 5 + 3(x + 1)
2x + 1 = 5 + 3(x + 1)
2x + 1 = 5 + 3x + 3
2x + 1 = 3x + 8
Now isolate the variable:
2x + 1 = 3x + 8
Subtract 2x from both sides:
1 = x + 8
Subtract 8 from both side:
-7 = x
x = -7
So the smaller number is -7 and the larger number is -6.

Now check your answer:
-7 + (-7 + 1) = 5 + 3(-7 + 1)
-7 + (-6) = 5 + 3(-7 + 1)
-7 + (-6) = 5 + 3(-7 + 1)
-7 - 6 = 5 + 3(-7 + 1)
-13 = 5 + 3(-7 + 1)
-13 = 5 + 3(-6)
-13 = 5 + (-18)
-13 = 5 - 18
-13 = -13
This works!

So the integers are -7 and -6.
7 0
4 years ago
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