Question

Given the equation 3/x +1/3=5/6 A) State the solution

B) Show the algebraic work steps leading to the solution

Answer 1

Hello!

The answer is:

The solution to the equation is:

`x=6`

Why?

To solve the problem, we must remember how to operate with fractions.

So, adding fractions we have:

`(a)/(b)+-(c)/(d)=((a*d)+-(b*c))/(b*d)`

Now, we are given the expression:

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

So, solving we have:

`(3)/(x) +(1)/(3)=(5)/(6)\\\\(3)/(x)=(5)/(6)-(1)/(3)\\\\(3)/(x)=((5*3)-(6*1))/(6*3)\\\\(3)/(x)=(15-6)/(18)\\\\(3)/(x)=(9)/(18)\\\\(3)/(x)=(1)/(2) \\\\3*2=1*x\\\\x=6`

We have that the solution to the equation is:

`x=6`