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goblinko [34]
3 years ago
12

Solve for w - 2w - 7 = 9

Mathematics
2 answers:
mario62 [17]3 years ago
8 0

Answer:

-2w−7=9

1 Add 7 to both sides.

-2w=9+7

2 Simplify 9+7 to 16

-2w=16

3 Divide both sides by -2

w= -16/2

w= - 8

liberstina [14]3 years ago
3 0

Step-by-step explanation:

-2w=9+7

-2w=16

w=16/-2

w=-8

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Taya2010 [7]
The distributive property is 15+45 = (10 + 40) + (5+5) = 50 + 10 = 60 Hope this helps you.
5 0
3 years ago
How many solutions does these equations have? One, infinite or no solutions?
s2008m [1.1K]

Answer:

  • 1. 7(y + 3) = 5y+8: <u>one solution</u>

  • 2. 10 + 6x= 2(5+3x): <u>infinite solutions</u>

  • 3. 3x + 5 - x=2x + 7: <u>no solutions</u>

  • 4. 4x - 4 = 2x + 8: <u>one solution.</u>

Explanation:

<u>1. 7(y+3)=5y+8</u>

<u></u>

a)  Distributive property of multiplication over addtion:

  • 7y + 21 = 5y + 8

b) Subtraction property of equalities:

  • 7y - 5y = 8 - 21

c) Combine like terms:

  • 2y = - 13

d) Division property of division:

  • y = - 13/2

e) Conclusion: the equation has one solution.

<u>2. 10 + 6x = 2(5+3x)</u>

a) Distributive property of multiplication over addition:

  • 10 + 6x = 10 + 6x

b) Subtraction property of equality:

  • 6x - 6x = 10 - 10

c) Simplify (combine like terms)

  • 0 = 0

That is an identity, i.e. that is always true, no matter the value of x.

d) Conclusion: the equation has infinite solutions.

<u>3. 3x + 5 - x = 2x + 7</u>

a) Combine like terms:

  • 2x + 5 = 2x + 7

b) Subtraction property of equalities:

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c) Combine like terms (simplify)

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d) Conclusion: the equation does not have any solutions.

<u>4. 4x - 4 = 2x + 8</u>

<u></u>

a) Subtraction property of equality

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b) Combine like terms

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c) Addtiion property of equalities:

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d) Combine like terms (simplify)

  • 2x = 12

e) Division property of equalities:

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f) Conclusion: the equation has one solution

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Step 1: Sketch the curve.

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Step 2:

Since μ=100 and σ=15 we have:

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Since Z = (x−μ)/σ , (110−100)/15 = 0.67 and (130−100)/15 = 2  we have:

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