Question

What is the solution to the equation x over 3 + x over 6 = 7 over 2

Answer 1

Answer: x = 7

Explanation:

(x/3)+(x/6)=7/2

add variables

(2x+x)/6=7/2

combine like terms

3x/6=7/2

simplify

x/2=7/2

multiply denominators by 2

x=7

Answer 2

x=7

Explanation:

The given equation is:

`(x)/(3)+(x)/(6) = (7)/(2)`

Multiplying both sides by LCM of 3 and 6

So,

`(x)/(3)*6+(x)/(6)*6 = (7)/(2)*6\\2x+x=7*3\\3x=21\\(3x)/(3) =(2)/(3)\\ x=7`

Hence, the solution of the equation is x=7 ..