Answer:
[tex] \boxed{ \boxed{ \boxed{ \bold{ \sf{e = 2}}}}}[/tex]
Step-by-step explanation:
[tex] \sf{ \frac{e}{2} + 7 = 4e}[/tex]
Take L.C.M of 2 and 1
⇒[tex] \sf{ \frac{e + 7 \times 2}{2} = 4e}[/tex]
Multiply the numbers
⇒[tex] \sf{ \frac{e + 14}{2} = 4e}[/tex]
Apply cross product property
⇒[tex] \sf{e + 14 = 8e}[/tex]
Move variable to left hand side and change it's sign
Similarly, move constant to right hand side and change it's sign
⇒[tex] \sf{ e - 8e = - 14}[/tex]
Collect like terms
⇒[tex] \sf{ - 7e = - 14}[/tex]
Change the signs of both sides of the equation
⇒[tex] \sf{7e = 14}[/tex]
Divide both sides of the equation by 7
⇒[tex] \sf{ \frac{7e}{7} = \frac{14}{7} }[/tex]
Calculate
⇒[tex] \sf{e = 2}[/tex]
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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!!
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
