Solution Found!

?In each part, determine whether the equation is linear in \(x_{1}, x_{2}\), and

Chapter 1, Problem 1

(choose chapter or problem)

Get Unlimited Answers
QUESTION:

In each part, determine whether the equation is linear in \(x_{1}, x_{2}\), and \(x_{3}\)

a. \(x_{1}+5 x_{2}-\sqrt{2 x_{3}}=1\)

b. \(x_{1}+3 x_{2}+x_{1} x_{3}=2\)

c. \(x_{1}=-7 x_{2}+3 x_{3}\)

d. \(x_{1}^{-2}+x_{2}+8 x_{3}=5\)

e. \(x_{1}^{3 / 5}-2 x_{2}+x_{3}=4\)

f. \(\pi x_{1}-\sqrt{2 x_{2}}=7^{1 / 3}\)

Equation Transcription:

Text Transcription:

x_{1}, x_{2}

x_3

x_1 + 5x_2 - sqrt{2x_3} = 1

x_1 + 3x_2 + x_{1} x_{3} = 2

x_1 = -7x_2 + 3x_3

x_1^-2 + x_2 + 8x_3 = 5

x_1^⅗ - 2x_2 + x_3 = 4

pi x_1 - sqrt{2x_2} = 7^1/3

Questions & Answers

QUESTION:

In each part, determine whether the equation is linear in \(x_{1}, x_{2}\), and \(x_{3}\)

a. \(x_{1}+5 x_{2}-\sqrt{2 x_{3}}=1\)

b. \(x_{1}+3 x_{2}+x_{1} x_{3}=2\)

c. \(x_{1}=-7 x_{2}+3 x_{3}\)

d. \(x_{1}^{-2}+x_{2}+8 x_{3}=5\)

e. \(x_{1}^{3 / 5}-2 x_{2}+x_{3}=4\)

f. \(\pi x_{1}-\sqrt{2 x_{2}}=7^{1 / 3}\)

Equation Transcription:

Text Transcription:

x_{1}, x_{2}

x_3

x_1 + 5x_2 - sqrt{2x_3} = 1

x_1 + 3x_2 + x_{1} x_{3} = 2

x_1 = -7x_2 + 3x_3

x_1^-2 + x_2 + 8x_3 = 5

x_1^⅗ - 2x_2 + x_3 = 4

pi x_1 - sqrt{2x_2} = 7^1/3

ANSWER:

Step 1 of 7

Definition

Equation in  variables is linear if it can be written as:

In other words, variables can appear only as , that is, no powers other than 1 . Also, combinations of different variables  and  are not allowed.

 

Add to cart


Study Tools You Might Need

Not The Solution You Need? Search for Your Answer Here:

×

Login

Login or Sign up for access to all of our study tools and educational content!

Forgot password?
Register Now

×

Register

Sign up for access to all content on our site!

Or login if you already have an account

×

Reset password

If you have an active account we’ll send you an e-mail for password recovery

Or login if you have your password back