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One and only one problem per post.
It is the rule of this forum.
Those who violate this rule, work against their best interests.
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Comment from student: I am sorry I missed the rule. I thought it could be 5 problems per post and/or day.
Can you help me with this. Solve the Equation. |5/(x-3)| = 12
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My response.
There are many ways to solve it.
I will show you here the shortest way.
The equation |5/(x-3)| = 12 is equivalent to
|x-3| = .
The solutions are those values of x that are remoted exactly at of a unit from the number 3 (from the point 3 in the number line.
So the solutions are x= 3 + 5/12 = and x= 3 - 5/12 = .
Solved.
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Do you understand this solution ? Do you have questions ?
On solving absolute value equations see the lessons
- Absolute Value equations
- HOW TO solve equations containing Linear Terms under the Absolute Value sign. Lesson 1
- HOW TO solve equations containing Linear Terms under the Absolute Value sign. Lesson 2
- HOW TO solve equations containing Linear Terms under the Absolute Value sign. Lesson 3
- HOW TO solve equations containing Quadratic Terms under the Absolute Value sign. Lesson 1
- HOW TO solve equations containing Quadratic Terms under the Absolute Value sign. Lesson 2
- OVERVIEW of lessons on Absolute Value equations
Read them attentively and become an expert in this area.
Also, you have this free of charge online textbook in ALGEBRA-I in this site
- ALGEBRA-I - YOUR ONLINE TEXTBOOK.
The referred lessons are the part of this online textbook under the topic
"Solving Absolute values equations".
Save the link to this online textbook together with its description
Free of charge online textbook in ALGEBRA-I
https://www.algebra.com/algebra/homework/quadratic/lessons/ALGEBRA-I-YOUR-ONLINE-TEXTBOOK.lesson
to your archive and use it when it is needed.