a)Solve the following system of equations. Let z be the parameter.   2x+3y−z =1 3x+5y+z =4

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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a)Solve the following system of equations. Let z be the parameter.
 
2x+3y−z
=1
3x+5y+z
=4
b)For the following system of equations in echelon​ form, tell how many solutions there are in nonnegative integers.
 
x+3y+z
=88
7y+2z
=56
 
c) For the following system of equations in echelon​ form, tell how many solutions there are in nonnegative integers.
 
2x+3y+2z
=80
y−2z
=20
 
d) A person has ​$22,000invested in stock A and stock B. Stock A currently sells for ​$40
a share and stock B sells for​ $90a share. If stock B triples
in value and stock A goes up​ 50%, his stock will be worth
​$60,000.
How many shares of each stock does he​ own?
 
 
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