Determine the values of a for which the system has no solutions, exactly one solution, or infinitely many solutions. x + 3y - z = 2 3x - y + 2z = 3 4x + 2y + (a? - 8)z = a + 2 For a = there is no solution. For a = |there are infinitely many solutions. For a + + |the system has exactly one solution.

Determine the values of a for which the system has no solutions, exactly one solution, or infinitely many solutions. x + 3y - z = 2 3x - y + 2z = 3 4x + 2y + (a? - 8)z = a + 2 For a = there is no solution. For a = |there are infinitely many solutions. For a + + |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: Solve the given system of linear equations. (If there is no solution, enter NO SOLUTION. If the…

Q: A student is asked to solve the following system of equations using substitution: -2x +y = -1 x-y =…

A: As per bartleby guidelines we only give first question answers.

Q: Solve the given system of equations. If the system has no solution, say that is it inconsistent. X -…

A: According to our guidelines we are supposed to answer only one question, since you have asked more…

Q: [B] Find the values of a for which the following system of equations is consistent and has…

Q: Use a software program or a graphing utility to solve the system of linear equations. (Round your…

A: Here we solve the given problem.

Q: The system of linear equations x + 4y 9z = | + 8z - 1 - 4 has exactly 2 solutions has 0 solutions…

A: Solving we get x = -160, y = 31, z = -4.

Q: Solve the given system of linear equations. (If there is no solution, enter NO SOLUTION. If the…

Q: Solve the system of linear equation.0.2x − 0.1y = 0.070.4x − 0.5y = −0.01

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

A: A = 12-12-1243(a2-9)A:B = 12-132-12343a2-9a+61. if a = 3, then for both matrix :R3→R2+R1then rank…

Q: Determine the value of k such that the system of linear equation has infinite number of solution. 4x…

Q: Find all solutions of the given system of equations and check your answer graphically. HINT [First…

Q: Solve the system of equations by letting A = 1/x and B = 1/y. (If there is no solution, enter NO…

Q: O Find the general solution of the given system of equations. x-( ). 3 3 -2 -2 x':

A: To find the general of the below system of equations. X'=33−2−2X

Q: X2 - X3 =0 X,-3X3=-1 -X,+3x,=1 this system has Select one: a. no solution b. two solutions C. one…

A: Given equations are; x2 - x3 = 0 x1 - 3x3 = -1 -x1 + 3x2 = 1

Q: 5. Solve the system of equations 3x-y+3z+w=0 X-y+z+w=1 x+ y+z-w=1

Q: Solve the following system of linear equations: 5x1-5x₂ = 5 x1-5x3 = -4 If the system has infinitely…

Q: Use the elimination method to find all solutions of the system [x² + y² = 7 1x² - y² = 4 The four…

A: We have to find the solution

Q: Identify the number of solutions of the system of linear equations. x+y-z= 4 3x + 2y + 4z = 17 -x…

A: Given: x+y-z=43x+2y+4z=17-x+5y+z=8

Q: Solve the system of equations with substitution. If there are no solutions enter "DNE". For…

Q: Solve the system by any method. (If there is no solution, enter NO SOLUTION. If there are an…

Q: Find the solution set of the system of linear equations has an infinite number of solutions, express…

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

Q: 5. Solve this system of equations by graphing. 4. Which is the best estimate of the solution for the…

Q: Solve the system of linear equations. (If there is no solution, enter NO SOLUTION. If the system has…

A: we can solve as

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

A: The system of equations a1x+b1y+c1=0 and a2x+b2y+c2=0 will have Unique solution if a1b1≠a2b2…

Q: The system of equation x + 2y +z = 0, x +y = 0,x – z = 0 has A. a trivial solution only B. no…

A: Given system of equation, x+2y+z=0 ...... ix+y=0 ...... iix-z=0 ...... iii

Q: Solve the given system of linear equations. (If there is no solution, enter NO SOLUTION. If the…

A: We can find the solution to the variables by solving them linearly as below.

Q: Find all solutions of the given system of equations and check your answer graphically. HINT [First…

A: First we eliminate all fraction by sweetable operation. Then we solve this by eliminating x and y…

Q: For each systems of equations below, choose the best method for solving and solve. Show your work.…

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and…

Q: Find all solutions of the system of equations. (If there is no solution, enter NO SOLUTION.) Įy = 4…

A: Hi, As per Bartleby rules we are supposed to do only one question at a time. Kindly repost other…

Q: How many solutions does the system of equations have? 4 00:00 No solution 00:00 One solution: X = 0,…

A: Solution to the system of equations is given by the point of intersection of the graphs of the…

Q: Solve the system by the method of elimination. (If there is no solution, enter NÓ SOLUTION. If the…

A: Given, x+4y=7 ----(i)-x+4y=9 ----(ii)

Q: Solve the given system of linear equations. (If there is no solution, enter NO SOLUTION. If the…

A: Given- The pair of linear equation, 0.2x-0.1y=0.30.2x+0.2y=0.4 To find- the value of the system of…

Q: ell whether the system has on solution, infinitely many solutions, or no solutions. SHOW YOUR WORK!!…

A: We can find the answer as below.

Q: Solve by the method of your choice. Identify systems with no solution and systems with infinitely…

A: Given, 4x=3y+8or4x-3y=8 .......12x=-14+5yor2x-5y=-14 ......2

Q: Solve the given system of linear equations. (If there is no solution, enter NO SOLUTION. If the…

Q: Find all solutions of the given system of equations and check your answer graphically. HINT [First…

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: For which values of a and b the system below has (a) a unique solution, (b) many solutions, and (c)…

Q: Solve the system of equations with substitution. If there are no solutions enter "DNE". For…

A: We will substitute the value of y obtained from equation 2 in equation 1

Q: Find all solutions of the given system of equations and check your answer graphically. (If there is…

Q: Solve the system. If the system has infinitely many solutions, write the solution set with x…

A: To find the solution set of the given system of equations.

Q: Use the elimination method to find all solutions of the system: [x² + y² = 7 x² - y² = 4 The four…

Q: Solve the given system of linear equations. (If there is no solution, enter NO SOLUTION. If the…

A: Solution (1): Given that, x+2y=-12 ...(1)x-z=0 ...(2)x+3y-2z=-8…

Q: be saved. A system of linear equations is given. x + y − 2z = 6 2x − y = 24 2x +…

Q: Determine the value of k for which the system of linear equations 3x-y=2 6x+ky=2 has no solution.…

Q: Solve the system using substitution. (If there are infinitely many solutions, enter INFINITELY MANY.…

A: Given: x − y = 4 ; 3x − 3y = 12

Q: Solve the system by the elimination method, if possible. (If the system is inconsistent, enter…

Q: Find all solutions of the given system of equations and check your answer graphically. (If there is…

A: We have to find the solutions of the given system and verify the answer graphically.…

Q: Use any method to solve the system. (If there is no solution, enter NO SOLUTION. If the system is…

Q: Identify the number of solutions of the system of linear equations. 3x-y+2z 4 6x - 2y + 4z = -8…

Question

Determine the values of a for which the system has no solutions, exactly one solution, or infinitely many solutions.
x + 3y - z = 2
3x - y + 2z = 3
4x + 2y +
(a? - 8)z = a + 2
For a =
there is no solution.
For a =
there are infinitely many solutions.
For a + +
|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.

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step by step

Solved in 2 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Systems of Linear Equations$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, advanced-math and related others by exploring similar questions and additional content below.

Recommended textbooks for you

Algebra: Structure And Method, Book 1

Algebra

ISBN:

9780395977224

Author:

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

Publisher:

McDougal Littell