2. Solve the following equations for x. It may help to make up an equation with numbers and solve it to side to make sure you are not making any mistakes. e(x+c) – 2 (b) b (a) a(x+b)-c= d (c) rx+qx-d = gc (d) 2аx -b %3 сх + d ax (f) CX =e d (e) zx = 5g(2x-c)

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
icon
Related questions
Topic Video
Question
### Solving Equations for \( x \)

Below are several equations to solve for the variable \( x \). To ensure accuracy, it may be helpful to create an example using numbers and solve it separately. This practice can verify that no mistakes are made during algebraic manipulations.

#### Equations:

(a) \[ a(x + b) - c = d \]

(b) \[ \frac{e(x + c)}{b} = 2 \]

(c) \[ rx + qx - d = gc \]

(d) \[ 2ax - b = cx + d \]

(e) \[ zx = 5g(2x - c) \]

(f) \[ \frac{ax}{b} + \frac{cx}{d} = e \]

Each equation presents unique challenges in isolating \( x \), requiring skills in algebra such as distribution, combining like terms, and manipulating fractions. Working through examples similar to these can solidify understanding of each step involved in solving equations.
Transcribed Image Text:### Solving Equations for \( x \) Below are several equations to solve for the variable \( x \). To ensure accuracy, it may be helpful to create an example using numbers and solve it separately. This practice can verify that no mistakes are made during algebraic manipulations. #### Equations: (a) \[ a(x + b) - c = d \] (b) \[ \frac{e(x + c)}{b} = 2 \] (c) \[ rx + qx - d = gc \] (d) \[ 2ax - b = cx + d \] (e) \[ zx = 5g(2x - c) \] (f) \[ \frac{ax}{b} + \frac{cx}{d} = e \] Each equation presents unique challenges in isolating \( x \), requiring skills in algebra such as distribution, combining like terms, and manipulating fractions. Working through examples similar to these can solidify understanding of each step involved in solving equations.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

Blurred answer
Knowledge Booster
Discrete Probability Distributions
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, algebra and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
Algebra
ISBN:
9780134463216
Author:
Robert F. Blitzer
Publisher:
PEARSON
Contemporary Abstract Algebra
Contemporary Abstract Algebra
Algebra
ISBN:
9781305657960
Author:
Joseph Gallian
Publisher:
Cengage Learning
Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
Algebra And Trigonometry (11th Edition)
Algebra And Trigonometry (11th Edition)
Algebra
ISBN:
9780135163078
Author:
Michael Sullivan
Publisher:
PEARSON
Introduction to Linear Algebra, Fifth Edition
Introduction to Linear Algebra, Fifth Edition
Algebra
ISBN:
9780980232776
Author:
Gilbert Strang
Publisher:
Wellesley-Cambridge Press
College Algebra (Collegiate Math)
College Algebra (Collegiate Math)
Algebra
ISBN:
9780077836344
Author:
Julie Miller, Donna Gerken
Publisher:
McGraw-Hill Education