4x - 2y + 5z = 21 x + y -x - 3y + 2z = 8 Equation 1 Equation 2 Equation 3 = 0 (a) Solve the system provided by Equations 1 and 2. (If there is no solution, enter NO SOLUTION. If the system has an infinite number of solutions, express x, y, and z in ter (x, y, z) = (b) Solve the system provided by Equations 1 and 3. (If there is no solution, enter NO SOLUTION. If the system has an infinite number of solutions, express x, y, and z in tem (x, y, z) = (c) Solve the system provided by Equations 2 and 3. (If there is no solution, enter NO SOLUTION. If the system has an infinite number of solutions, express x, y, and z in terr (x, y, z) = | x = -4 - ty =-4+t =)- (d) How many solutions does each of these systems have? Equations 1 and 2:

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter5: Systems Of Equations And Inequalities
Section5.1: Systems Of Linear Equations In Two Variables
Problem 4E
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The following system has one solution: x = 1, y = -1, and z = 3.
4x - 2y + 5z = 21
x + y
—х — Зу + 2%3
Equation 1
Equation 2
Equation 3
=
8
(a) Solve the system provided by Equations 1 and 2. (If there is no solution, enter NO SOLUTION. If the system has an infinite number of solutions, express x, y, and z in terms of the parameter t.)
(х, у, 2) %3D
(b) Solve the system provided by Equations 1 and 3. (If there is no solution, enter NO SOLUTION. If the system has an infinite number of solutions, express x, y, and z in terms of the parameter t.)
(х, у, 2) %3D
(c) Solve the system provided by Equations 2 and 3. (If there is no solution, enter NO SOLUTION. If the system has an infinite number of solutions, express x, y, and z in terms of the parameter t.)
(х, у, 2) %3D
x = -4 – t,y= -4+t
(d) How many solutions does each of these systems have?
Equations 1 and 2:
O zero
O one
O infinitely many
Equations 1 and 3:
O zero
O one
O infinitely many
Equations 2 and 3:
O zero
O one
O infinitely many
Transcribed Image Text:The following system has one solution: x = 1, y = -1, and z = 3. 4x - 2y + 5z = 21 x + y —х — Зу + 2%3 Equation 1 Equation 2 Equation 3 = 8 (a) Solve the system provided by Equations 1 and 2. (If there is no solution, enter NO SOLUTION. If the system has an infinite number of solutions, express x, y, and z in terms of the parameter t.) (х, у, 2) %3D (b) Solve the system provided by Equations 1 and 3. (If there is no solution, enter NO SOLUTION. If the system has an infinite number of solutions, express x, y, and z in terms of the parameter t.) (х, у, 2) %3D (c) Solve the system provided by Equations 2 and 3. (If there is no solution, enter NO SOLUTION. If the system has an infinite number of solutions, express x, y, and z in terms of the parameter t.) (х, у, 2) %3D x = -4 – t,y= -4+t (d) How many solutions does each of these systems have? Equations 1 and 2: O zero O one O infinitely many Equations 1 and 3: O zero O one O infinitely many Equations 2 and 3: O zero O one O infinitely many
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