Question

E/2+7=4e

hey does anyone know how to solve for e?

Answer 1

e = 2

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

Answer 2

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

Explanation:

`\sf{ (e)/(2) + 7 = 4e}`

Take L.C.M of 2 and 1

⇒
`\sf{ (e + 7 * 2)/(2) = 4e}`

Multiply the numbers

⇒
`\sf{ (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{ (7e)/(7) = (14)/(7) }`

Calculate

⇒
`\sf{e = 2}`

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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.

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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!!