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Alona [7]
3 years ago
5

How to solve vatiable equations 5x-7=7x-17

Mathematics
1 answer:
m_a_m_a [10]3 years ago
3 0
Let's get the same terms on the same side.
I am going to remove 5x from both sides of the equation by subtracting 5x

5x - 5x -7 = 7x -5x - 17
           -7 = 2x - 17   now lets remove the 17 from both sides
       -7 + 17 = 2x     (why do we add 17?  Think of 2x -17 as 2x +  -17.  Tor remove a negative number we add it.
Now we finally have     10=2x and if we divide both sides by 2

<u>10</u>  = <u>2x</u><u>
</u>2       2    we get that x = 5
<u />Let's check by substituting 5 in the original equation:
5(5) - 7 = 7(5) - 17
25 - 7 = 35 - 17
18      =       18
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vladimir1956 [14]
First one because when you subtract 7 u keep the var. x alone and isolate it.
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3 years ago
Swim team members can race or dive. At a meet, 18 members race. The ratio of racers to divers is 6 : 2. How many members are on
AnnyKZ [126]

Answer:

24

Step-by-step explanation:

Given that:

Total number of members who race = 18

Ratio of racers to divers = 6 : 2

To find:

Total number of members of the team = ?

Solution:

Given the ratio = 6 : 2

As per the ratio given, we can let the number of racers = 6x

and

As per the ratio given, we can let the number of divers = 2x

As the swim team members can either race or dive, we can say that:

Total number of members on the team = Number of racers + Number of divers

Total number of members on the team = 6x+2x=8x

As per the question statement, we are given that:

6x=18\\\Rightarrow x =\dfrac{18}{6}\\\Rightarrow x =3

Therefore, total number of team members = 8 \times 3 = <em>24</em>

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2 years ago
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