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)
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.