The figure to the right gives the responses of a group of 100 randomly selected college freshmen when asked for the highest academic degree that they intended to obtain. Four times as many students intended to obtain​ master's degrees as their highest degree than intended to obtain​ bachelor's degrees as their highest degree. The number of students intending to obtain​ bachelor's or​ master's degrees as their highest degree was 30 more than the number who intended to obtain other degrees as their highest degree. Let​ x, y, and z represent the number of students that intend to obtain a​ master's degree,​ bachelor's degree, or other​ (respectively). Use the Gauss–Jordan method for calculating inverses to determine the values of​ x, y, and z.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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The figure to the right gives the responses of a group of 100 randomly selected college freshmen when asked for the highest academic degree that they intended to obtain. Four times as many students intended to obtain​ master's degrees as their highest degree than intended to obtain​ bachelor's degrees as their highest degree. The number of students intending to obtain​ bachelor's or​ master's degrees as their highest degree was 30 more than the number who intended to obtain other degrees as their highest degree. Let​ x, y, and z represent the number of students that intend to obtain a​ master's degree,​ bachelor's degree, or other​ (respectively). Use the Gauss–Jordan method for calculating inverses to determine the values of​ x, y, and z.

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