Question

Solve the following equations for x, and give evidence that your solutions are correct (x/2)+(1/3)=(5/6).

Answer 1

x = 1

Explanation:

Given equation:

`(x)/(2)+(1)/(3)=(5)/(6)`

Now,

subtracting
`(1)/(3)` from both sides

we get

⇒
`(x)/(2)+(1)/(3)-(1)/(3)=(5)/(6)-(1)/(3)`

or

⇒
`(x)/(2)+0=(5)/(6)-(1)/(3)`

or

⇒
`(x)/(2)=(5*3-6)/(6*3)`

or

⇒
`(x)/(2)=(9)/(18)`

or

`(x)/(2)=(1)/(2)`

Now, multiplying both sides with the number 2, we get

x = 1