Question

How do you solve letter b using a subtraction equation with one variable that has a solution of 2/3. A step by step guide would be helpful.

Answer 1

Let's set x as the variable that has a solution of 2/3.

A possible equation is:

`1-x=y`

Now, in order to know the y-value, replace the x-value=2/3 and solve for y:

`\begin{gathered} 1-(2)/(3)=y \\ we\text{ can replace 1 by 1/1} \\ (1)/(1)-(2)/(3)=y \\ \text{The subtraction of fractions can be solved as} \\ (1*3-1*2)/(1*3)=y \\ (3-2)/(3)=y \\ (1)/(3)=y \end{gathered}`

Now, replace the y-value in the initial equation, and we obtain:

`1-x=(1)/(3)`

If you solve this equation, you will get x=2/3.