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?

Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter11: Systems Of Equations
Section11.5: Cramer's Rule
Problem 35PS
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6.
Given the equation x1 + x2 + X3 + X4 = 40, where x1, x2, X3, and x4 are
%3D
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. ...x1 2 0, x2 2 1, x3 2 2, and x4 2 3?
Transcribed Image Text:6. Given the equation x1 + x2 + X3 + X4 = 40, where x1, x2, X3, and x4 are %3D 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. ...x1 2 0, x2 2 1, x3 2 2, and x4 2 3?
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