Question

1/x+a=b, solve for x. im lost​

Answer 1

Answer:

Step-by-step explanation:

First, Let's take a on both sides:

$\frac{1}{x}+a-a=b-a$

$\frac{1}{x}=b-a$

Remember that 1/x is called the reciprocal. For example the reciprocal of 2 is 1/2 and the reciprocal of 5 is 1/5. If we read the equation is telling us: "Reciprocal of x is b - a". Therefore, $\frac{1}{b-a}=x$.

Another way to solve it is to multiply x on both sides. Then,

$\frac{x}{x}=(b-a)*x$

$1=(b-a)*x$

Then divide by (b-a). Remmebre to treat b-a as a factor:

$\frac{1}{(b-a)}=\frac{(b-a)*x}{(b-a)}$

Cancelling (b-a) on the right hand side:

$\frac{1}{(b-a)}=x$