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inn [45]
3 years ago
12

What value of x is the solution of the equation 1/7+2x/3 = 15x-3/21?

Mathematics
2 answers:
Tems11 [23]3 years ago
8 0

Answer:A=6

Step-by-step explanation:

lana66690 [7]3 years ago
7 0
1/7+2x/3=(15x-3)/21  make all terms have a common denominator of 21

3+14x=15x-3  subtract 3 from both sides

14x=15x-6  subtract 15x from both sides

-x=-6 divide both sides by -1

x=6

*Notice the use of parentheses in this format to make it clear what the numerators and denominators are...

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Two cars are traveling north along a highway. The first drives at 40 mph, and the second, which leaves 3 hours later, travels at
belka [17]

Answer:

Step-by-step explanation:

We will make a table and fill it in according to the information provided. What this question is asking us to find, in the end, is how long did it take the cars to travel the same distance. In other words, how long, t, til car 1's distance = car 2's distance. The table looks like this:

              d     =      r     *     t

car1

car2

We can fill in the rates right away:

             d       =      r     *     t

car1                       40

car2                       60

Now it tells us that car 2 leaves 3 hours after car 1, so logically that means that car 1 has been driving 3 hours longer than car 2:

            d     =      r      *      t

car1                     40         t + 3

car2                     60           t

Because distance = rate * time, the distances fill in like this:

                   d      =      r      *      t

car1    40(t + 3)    =      40        t+3

car2          60t     =       60         t

Going back to the interpretation of the original question, I am looking to solve for t when the distance of car 1 = the distance of car 2. Therefore,

40(t+3) = 60t and

40t + 120 = 60t and

120 = 20t so

t = 6 hours.

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