Question

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

Answer 1

Answer:

x = 1

Step-by-step explanation:

Given equation:

$\frac{x}{2}+\frac{1}{3}=\frac{5}{6}$

Now,

subtracting  $\frac{1}{3}$ from both sides

we get

⇒ $\frac{x}{2}+\frac{1}{3}-\frac{1}{3}=\frac{5}{6}-\frac{1}{3}$

or

⇒ $\frac{x}{2}+0=\frac{5}{6}-\frac{1}{3}$

or

⇒  $\frac{x}{2}=\frac{5\times3-6}{6\times3}$

or

⇒ $\frac{x}{2}=\frac{9}{18}$

or

$\frac{x}{2}=\frac{1}{2}$

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

x = 1