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White raven [17]
3 years ago
11

Solve the equation -8x-3(2x+1)=67

Mathematics
2 answers:
Westkost [7]3 years ago
5 0

Answer:

=

−

5

Step-by-step explanation:

−

8

−

3

(

2

+

1

)

=

6

7

-8x{\color{#c92786}{-3(2x+1)}}=67

−8x−3(2x+1)=67

−

8

−

6

−

3

=

6

7

-8x{\color{#c92786}{-6x-3}}=67

−8x−6x−3=67

2

Combine like terms

−

8

−

6

−

3

=

6

7

{\color{#c92786}{-8x}}{\color{#c92786}{-6x}}-3=67

−8x−6x−3=67

−

1

4

−

3

=

6

7

{\color{#c92786}{-14x}}-3=67

−14x−3=67

3

Add

3

3

3

to both sides of the equation

−

1

4

−

3

=

6

7

-14x-3=67

−14x−3=67

−

1

4

−

3

+

3

=

6

7

+

3−

1

4

=

7

0

-14x=70

−14x=70

5

Divide both sides of the equation by the same term

−

1

4

=

7

0

-14x=70

−14x=70

−

1

4

−

1

4

=

7

0

−

1

4

\frac{-14x}{{\color{#c92786}{-14}}}=\frac{70}{{\color{#c92786}{-14}}}

−14−14x​=−1470​

6

Simplify

Cancel terms that are in both the numerator and denominator

Divide the numbers

=

−

5

IrinaK [193]3 years ago
3 0
-8x-6x-3=67
-14x-3=67
-14x=70
-14/70
x=-5
i hope that helped
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Substitute in what we know

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6 0
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Harman [31]

Answer:

  1 hour

Step-by-step explanation:

I find these easiest to work by considering the initial difference in distance and the speed at with that gap is closing.

__

The gap is 15 miles, the distance the first ship is from harbor when the second ship starts.

The rate of closure is the difference in the speeds of the two ships:

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Then the closure time is ...

  time = distance/speed

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