terryding2009
Answered

Welcome to Westonci.ca, your go-to destination for finding answers to all your questions. Join our expert community today! Experience the convenience of getting accurate answers to your questions from a dedicated community of professionals. Join our Q&A platform to connect with experts dedicated to providing accurate answers to your questions in various fields.

Solve the equation r = 1/(x-1) for x in terms of r. In other words, manipulate the equation until you have x equal to an expression with r's in it but no x's.

Sagot :

abbyyyy7

Answer:

[tex]x=\frac{1}{r} +1[/tex]

Step-by-step explanation:

[tex]r=\frac{1}{x-1}[/tex]
[tex]r(x-1)=1[/tex]
[tex]x-1=\frac{1}{r}[/tex]
[tex]x=\frac{1}{r} +1[/tex]

semsee45

Answer:

[tex]x=\dfrac{1+r}{r}[/tex]

Step-by-step explanation:

Given equation:

[tex]r=\dfrac{1}{(x-1)}[/tex]

Multiply both sides by (x - 1):

[tex]\implies r(x-1)=\dfrac{1}{(x-1)} \cdot (x-1)[/tex]

[tex]\implies r(x-1)=1[/tex]

Expand the brackets:

[tex]\implies rx-r=1[/tex]

Add r to both sides:

[tex]\implies rx-r+r=1+r[/tex]

[tex]\implies rx=1+r[/tex]

Divide both sides by r:

[tex]\implies \dfrac{rx}{r}=\dfrac{1+r}{r}[/tex]

[tex]\implies x=\dfrac{1+r}{r}[/tex]

Visit us again for up-to-date and reliable answers. We're always ready to assist you with your informational needs. We appreciate your visit. Our platform is always here to offer accurate and reliable answers. Return anytime. Get the answers you need at Westonci.ca. Stay informed with our latest expert advice.