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:

$\frac{a}{b}+-\frac{c}{d}=\frac{(a*d)+-(b*c)}{b*d}$

Now, we are given the expression:

$\frac{3}{x} +\frac{1}{3}=\frac{5}{6}$

So, solving we have:

$\frac{3}{x} +\frac{1}{3}=\frac{5}{6}\\\\\frac{3}{x}=\frac{5}{6}-\frac{1}{3}\\\\\frac{3}{x}=\frac{(5*3)-(6*1)}{6*3}\\\\\frac{3}{x}=\frac{15-6}{18}\\\\\frac{3}{x}=\frac{9}{18}\\\\\frac{3}{x}=\frac{1}{2} \\\\3*2=1*x\\\\x=6$

We have that the solution to the equation is:

$x=6$