Determine the values of a for which the system has no solutions, exactly one solution, or infinitely many solutions.x + 2y – 3z = 52x – y + 2z = 35x + 5y + (a? – 16)z = a + 15For a =ithere is no solution.For a =ithere are infinitely many solutions.For a +±ithe system has exactly one solution.

Answered: Image /qna-images/answer/729020ad-1efc-4024-b859-d65732586979.jpg

termine the values of a for which the system nas no solutions, exactly one solution, or x + 2y – 3z = 5 2x – y + 2z = 3 :+ 5y + (a² – 16)z = a + 15 %3D -a = i there is no solution. - a = i there are infinitely many solutions. -a+± i the system has exactly one solution.

termine the values of a for which the system nas no solutions, exactly one solution, or x + 2y – 3z = 5 2x – y + 2z = 3 :+ 5y + (a² – 16)z = a + 15 %3D -a = i there is no solution. - a = i there are infinitely many solutions. -a+± i the system has exactly one solution.

Algebra: Structure And Method, Book 1

(REV)00th Edition

ISBN:9780395977224

Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole

Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole

Chapter9: Systems Of Linear Equations

Section9.2: The Substitution Method

Problem 32WE

See similar textbooks

Related questions

Q: The figure shows the flow of traffic (in vehicles per hour) through a network of streets. 400 600 X2…

Q: Find a general solution of the linear system below. х" - 4y' - 3х %3 0, у'+4x' -Зу %3D0 Solve for…

A: System of linear differential equation. Denote the notation D = d/(dt).

Q: Obtain the values of A so that the system has a unique solution, infinity of solutions or no…

A: NOTE: Refresh your page if you can't see any equations. . for simplicity use the variable for…

Q: Valu e of the constant "a" that makes the P find the following system has infinitely many solutions…

A: The given equations are x+y= 2 2x+(a2-14)y=4 To find : The value of 'a' which makes the system…

Q: Solve the system of equations with elimination method and what is the type of solution? x + y= -1;…

A: NOTE: According to guideline answer of first question can be given, for other please ask in a…

Q: uestion 2 Determine the value of a for which the following system of equations has a unique…

Q: Determine the values of a for which the system has no solutions, exactly one solution, or infinitely…

Q: I– 2y = 1 Use the system of equations z-y+ kz= -2 ky + 4z = 6 The value(s) of k such that the system…

A: Given system of equations is x-2y=1x-y+kz=-2ky+4z=6

Q: Determine the values of a for which the system has no solutions, exactly one solution, or infinitely…

Q: 12 + 6 x+2 y = 35. Solve the system of nonlinear equations .- o)2 (y – 8 = (x + 8)² С. (-6,9) - %3D…

Q: a. Find the value(s) of the parameter t for which the system of linear equations x- 2y = t-1…

A: Given thattwo linear equation x-2y=t-14x+1-t2y=8To find : the value of parameter t 1. has a unique…

Q: O y- Ay 1 0 0 A = 3 1 -2 2 2 1

A: If we have y(t)=f(t)g(t)h(t), then, y'(t)=f'(t)g'(t)h'(t) and the system of differential equations…

Q: of a, b, and e (if possible) such that the system of linear equations has (a) a unique solution, (b)…

A: 1,3

Q: QI/ By using Gauss-Seidel method, find the solution of the system when the initial value is X(0) = 0…

Q: Find values of a, b, and c (if possible) such that the system of linear equations has a unique…

A: The objective is to find a, b, and c such that the given has unique solution, no solution and…

Q: 12. Determine the values of A such that the system has a) a unique solution b) no solution c) more…

A: The given system of equation is:…

Q: Determine the values of a for which the system has no solutions, exactly one solution, or infinitely…

Q: I1 - 12 + I3 = 1 b) 3r1 5x1 - 2r2 + 3r3 + I3 =3

Q: (1/2)x=a x+ y= 5a In the system of equations above, "a" is a constant such that 0 < a < (1/3)…

A: The system of equation is 12x=ax+y=5a Where a is the constant such that 0 < a < 1/3

Q: (b) O The system has no solution. 10 01 8. O The system has a unique solution. 0 1 0 (x, y, 2) = CID…

A: aConsider an Augumented form of matrix:1709001-20000Describe its solution and if exists then find…

Q: a. Use the Gauss-Seidel method to obtain the solution of the system until the percent relative error…

A: Given that, The system of equations, x1+x2+5x3=-21.5-3x1-6x2+2x3=-61.510x1+2x2-x3=27 re-writing the…

Q: The figure shows the flow of traffic (in vehicles per hour) through a network of streets. 400 - -600…

A: The following steps are used to find the solution of the system of equations AX=B, where A, X and B…

Q: 2x +y+2= =1 -4x-y-:=3 2x+2y+5==6 Choose the best description of its solution. If applicable, give…

A: Given: The system of linear equations 2x+y+2z=1 -4x-y-z=3 2x+2y+5z=6 To determine: Which of the…

Q: . Solve the system of equations with elimination method and what is the type of solution? x + y= -1;…

Q: Use the Gauss-Seidel method to solve the system. Use x0 = [0.75, 2.5, 3.1458]. Find only %3D the…

Q: Solve the system of equations with elimination method and what is the type of solution? x + y= -1;…

A: As per our guideline we are allowed to do 1 question at a time. So please post other questions next…

Q: 5. Solve the system of equations using elimination. S-3z + 5y = 5 ly = 3w +1 (3, 1) (0, 1) no…

Q: -16x + 7y 27 onsider the system of equations: -7x + ky -20 %3D ind all values of k for which the…

Q: se the GausS-Seidel method to obtain the solution of the following system 3 x1 - 0.1 x2 - 0.2 x3 =…

A: Solve Equations 3x1-0.1x2-0.2x3=7.85 0.1x1+7x2-0.3x3=-19.3 0.3x1-0.2x2+10x3=71.4 using…

Q: Determine the values of a for which the system has no solutions, exactly one solution, or infinitely…

Q: Systems of first order equations can sometimes be transformed into a single equation of higher…

A: As per bartleby guidelines for more than one question asked only one is to be answered please upload…

Q: +y kx +y = 0 For which value(s) of k does the system of equations 1 has exactly one solution? No…

A: The detailed solution is as follows below:

Q: Determine the values of a for which the system has no solutions, exactly one solution, or infinitely…

A: Given system of equations, x+3 y-2 z=12 x-y+2 z=34x+5y+a2-11z=a+2 The objective is to determine the…

Q: Xị + sx2 = 1 %3D 2.x1 + 3x2 = t %3D where s,t e R. Select the values of s andt for which the system…

Q: se Gauss-Jordan row reduction to solve the given system of equations. (If there is no solution,…

Q: 7) Find the value(s) of k for which the system of equations below has a unique solution. 3x + 4y = 2…

Q: 8x+4y+10z=6 2x+6y+2az=4 6x-3z=-3 Using matricies, find values for a such that the system has no…

Q: Use the elimination method to find all solutions of the ( x2 - 2y 17 l2² + 5y = 45 The two solutions…

Q: Determine the values of a for which the system has no solutions, exactly one solution, or infinitely…

Q: (a) O The system has no solution. 1701 9. O The system has a unique solution. 00 1 -2 (x, y. z) =…

Q: atrix operations to solve the following system of linear equations. 4x-2y+6z = 8 2x+8y+2z = 4…

A: *You asked to solve Question no 3) * We use matrix operations to solve the given system of linear…

Q: Determine the value(s) of k such that the system of linear equations has the indicated number of…

A: Determine the value(s) of k such that the system of linear equations has the indicated number of…

Q: Determine the values of a for which the system has no solutions, exactly one solution, or infinitely…

Q: 2 -1 - (a) Find the general solution of the system of DEs X' = AX, where A = |-1 -1 -1 -1 2 (b) Use…

A: We are entitled to solve only one question at a time. Please post another question separately. To…

Q: a. Find the value(s) of the parameter t for which the system of linear equations x- 2y = 1-1 4x +…

A: The system of linear equation is given as, x-2y=t-14x+1-t2y=8 (a) To find the values of the…

Q: 3By UBing the two iterative methrds Solve the following System of equation and compare the speed of…

A: Given: A system of linear equations, 5x+2y+z=12x+2y+5z=20x+4y+2z=15 To find: Using two iterative…

Q: -1 Use this It can be shown that a solution of the system below is X1 = 3, x2 = 2, and x3 fact and…

A: According to the given information, The given system of equation is:

Q: Find all solutions of the system Sy = 25 – x2 - ly = x2 – 25 - The two solutions of the system are:…

Q: x + 2y - 3z = 4 3x - y + 5z = 2 4x + y + (a^2 - 14)z = a + 2 where a is any arbitrary constant…

Q: I – 2y = 1 Use the system of equations I – y + kz = -2 ky + 4z = 6 %3D The value(s) of k such that…

Question

Determine the values of a for which the system has no solutions, exactly one solution, or infinitely many solutions.
x + 2y – 3z = 5
2x – y + 2z = 3
5x + 5y + (a? – 16)z = a + 15
For a =
i
there is no solution.
For a =
i
there are infinitely many solutions.
For a +±
i
the system has exactly one solution.

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

Step 2

Step 3

Step 4

Trending now

This is a popular solution!

Step by step

Solved in 4 steps with 4 images

SEE SOLUTION Check out a sample Q&A here