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LuckyWell [14K]
3 years ago
15

E/2+7=4e hey does anyone know how to solve for e?

Mathematics
2 answers:
goldenfox [79]3 years ago
4 0

Answer:

\boxed{ \boxed{ \boxed{ \bold{ \sf{e = 2}}}}}

Step-by-step explanation:

\sf{ \frac{e}{2}  + 7 = 4e}

Take L.C.M of 2 and 1

⇒\sf{  \frac{e + 7  \times 2}{2}  = 4e}

Multiply the numbers

⇒\sf{ \frac{e + 14}{2}  = 4e}

Apply cross product property

⇒\sf{e + 14 = 8e}

Move variable to left hand side and change it's sign

Similarly, move constant to right hand side and change it's sign

⇒\sf{ e - 8e =  - 14}

Collect like terms

⇒\sf{ - 7e =  - 14}

Change the signs of both sides of the equation

⇒\sf{7e = 14}

Divide both sides of the equation by 7

⇒\sf{  \frac{7e}{7}  =  \frac{14}{7} }

Calculate

⇒\sf{e = 2}

--------------------------------------------------------

How can we find the L.CM?

The steps for finding L.C.M of the numbers are mentioned below:

Step 1 : First of all find the prime factors of each numbers.

Step 2: Take out the common prime factors. Step 3 : Also take out the other remaining prime factors.

Step 4 : Multiply those all prime factors and obtain L.C.M . If there is not any common prime factors then their L.C.M is the product of the given numbers.

--------------------------------------------------------

In our case , we are going to find out the LCM of 2 and 1.

First, Find all prime factors of 2 and 1

2 = 1 × 2

1 = 1 × 1

Common prime factor = 1

Remaining prime factors = 2 and 1

Multiply them : 1 × 2 × 1 = 2

Hope I helped!

Best regards!!

Veseljchak [2.6K]3 years ago
4 0

Answer:

e = 2

Step-by-step explanation:

e/2 + 7 = 4e

e/2= 4e - 7

e = 2(4e-7)

e = 2*4e + 2*-7

e = 8e - 14

14 = 8e - e

14 = 7e

e = 14/7

e = 2

probe:

2/2 + 7 = 4*2

1 + 7 = 8

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