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6. Given the equation x1 + x2 + X3 + x4 = 40, where x1, x2, X3, and x4 are integers. How many different solutions does this equation have if... a. .all the variables must be nonnegative? b. ..all the variables must be positive? c. ..x, 2 0, x2 2 1, x3 2 2, and x, 2 3?

6. Given the equation x1 + x2 + X3 + x4 = 40, where x1, x2, X3, and x4 are integers. How many different solutions does this equation have if... a. .all the variables must be nonnegative? b. ..all the variables must be positive? c. ..x, 2 0, x2 2 1, x3 2 2, and x, 2 3?

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
1st Edition
ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
Publisher:HOUGHTON MIFFLIN HARCOURT
Chapter1: Solving Linear Equations
Section: Chapter Questions
Problem 3CA
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Question
**Problem 6:** Given the equation \(x_1 + x_2 + x_3 + x_4 = 40\), where \(x_1, x_2, x_3,\) and \(x_4\) are integers. How many different solutions does this equation have if: a. ...all the variables must be nonnegative? b. ...all the variables must be positive? c. ...\(x_1 \geq 0, x_2 \geq 1, x_3 \geq 2,\) and \(x_4 \geq 3\)?
Transcribed Image Text:**Problem 6:** Given the equation \(x_1 + x_2 + x_3 + x_4 = 40\), where \(x_1, x_2, x_3,\) and \(x_4\) are integers. How many different solutions does this equation have if: a. ...all the variables must be nonnegative? b. ...all the variables must be positive? c. ...\(x_1 \geq 0, x_2 \geq 1, x_3 \geq 2,\) and \(x_4 \geq 3\)?
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