Answered: (7) The solution of the linear system…

(7) The solution of the linear system 3x + 3y + 3z = 3, 2x + 2y – 4z = 6 2x + y + z = 2 is (a) x = 1, y = },z = 2 -2 3' 3 (b) x = 1, y = 2, z = -2 -2 (c) x = 1, y =,z = ?

Algebra and Trigonometry (MindTap Course List)

4th Edition

ISBN:9781305071742

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter10: Systems Of Equations And Inequalities

Section10.CR: Chapter Review

Problem 3CC: What is a system of linear equations in the variables x, y, and z?

See similar textbooks

Related questions

Q: Transform the given system into a single equation of second-order a = -7x1+ 2x2 x = -2x1 – 7x2- Then…

Q: Solve the problem of time-optimal control to the origin for the system à1 = -x2, i2 = x1+ 2u, where…

A: Consider the given equation. x˙1=-x2 1x˙2=x1+2u 2 Rewrite the…

Q: Explain particular solution of the forced system x'' = Ax + F0 cos wt

Q: .The system x′=3(x+y−13x3−k),y′=−13(x+0.8y−0.7)x′=3(x+y−13x3−k),y′=−13(x+0.8y−0.7) is a special…

Q: 6.By introducing suitable dimensionless variables, we can write the system of nonlinear equations…

Q: What is an autonomous system of di¡erential equations? What is a solution to such a system? What is…

A: To define an autonomous system of differential equations.

Q: 4. The system x+e -2 =0 y'+e*-2% D0 has a root in the first quadrant, start with x, =1 and y =1…

Q: 2) By using Gramer's method to solve the system x+ 2y + 3z = 0 2x+ 3y + 8z 0 x+ 5y + 11z -0 the the…

Q: Discuss the solutions of the system (2)…

Q: 7. Rewrite the linear system using D operator and solve by D operator method = x, + x, +1 x, (t) =…

Q: Transform the given system into a single equation of second-order x = -8x1 + 6x2 X = -6x1 Then find…

A: Given: x1'=-8x1+6x2⋯(1)x2'=-6x1-8x2⋯(2) with initial conditions: x1(0)=3 & x2(0)=3. Now solve…

Q: 3 x = x³ = x

A: To find equilibrium point , we equating the differential equation equal to zero. let the…

Q: Apply Gaussian Elimination method for Elementary Trans system of equations : 3x + y+ 2z = 3 2x – 3y…

A: The given system of linear equations are, 3x+y+2z=32x-3y-z=-3x+2y+z=4

Q: From the list of equations: 1. Y = 5x + 2 2. 5у 3 25х + 10 3. 5у — 10x + 10 4. 2y = 10x – 4 Which…

Q: Given the system of nonlinear DEs a' = -2x – 3y + xe" and y'= 3x - y +2- 2e": (a) Linearise the…

A: Given nonlinear system of differential equations is dxdt=-2x-3y+xeydydt=3x-y+2-2ey Let P1x, y=xey…

Q: 5. Consider the linear system (-3 10) Y. 3 dY dt Show that all solution curves in the phase portrait…

A: Just show that eigenvalues are purely imaginary.

Q: 1-X'=x^2 -2xy Y'=y^2-x^2 Find 1-The equilibrium point 2-Determine if the system is Hamiltonian or…

A: Consider the provided question.

Q: Part 1 of 3 Find a solution to the system [x'y']=[−62−2−10] [xy][x′y′]=[-62-2-10] [xy] by solving…

A: Introduction: The eigenvalues and respective eigenvectors of a matrix plays an important role in…

Q: (a) Determine all critical points of the given system of equations.

A: We have to find the all critical points of the given system. For critical points dx/dt =0 dy/dt =0

Q: A three particle system with with masses: m1 = 5.0 Kg, m2 = 3.0 Kg and m3 = 5.0 Kg. The position…

A: Given: A three particle system with with masses: m1 = 5.0 Kg, m2 = 3.0 Kg and m3 = 5.0 Kg

Q: Consider underdamped forced system governed by y''+y'+3y = 4cos(3t). Find the general solution of…

A: We will find out the required solution.

Q: r system axı + x2 = 1 2.x1 + (a – 1) x2 = 1 of a for which the system has infinitely many solutio

A: We have to choose the correct answer from the given condition

Q: [3 Solve the system X'= Ax, where A = Classify the equilibrium at the %3D 9 -3 origin.

Q: 4. Find the general solution of the nonhomogeneous system 7-(;)+(:) %3D 3. et 2

Q: Consider the system of linear equations in x and y.ax + by = ecx + dy = fUnder what conditions will…

Q: How do I solve problems using homogeneous systems since each of the systems has (0,0,0)? like:…

A: The given system is x+2y-8z=0-5x-11y+47z=0 x+5y-12z=0

Q: 2. Can the system: Yı = x1+ X1X2X3 %3D Y2 = x2 + x1X2 Y3 = X3 + 2x1+3x be solved for (x1, X2, 13) in…

A: Consider the given system:

Q: Find general solutions of the systems in Problem Attached.

Q: Explain two separate steps of general solution of a nonhomogeneous linear system?

A: The general solution of a non homogeneous linear differential equation consists of two parts, the…

Q: 2)By using Gramer's method to solve the system x + 2y + 3z = 0 2x + 3y + 8z = 0 x + 5y + 11z = 0 ,…

A: A system of equations is given. We need to solve it by Crammers rule. The solution is explained…

Q: 4. Find the solution of the system of linear equation a) By Matrix Inversion b) By Cramer's Rule 2x…

Q: 1 Line 1: y=-x-4 Line 1: y=x+6 Line 1: y=,*+4 Line 2: y=-x 5 Line 2: y=,x-! Line 2: x+3y=-12 L2 4-…

A: (A) A system with exactly one solution is called a consistent independent system. If two lines cross…

Q: Find general solutions of the linear systems. If initial conditions are given, find the particular…

A: Given that x''-3y'-2x=0, y''+3x'-2y=0 Rewrite the equations in the given system as two separate…

Q: 1) If using the Gauss- Elimnation method to solve the system x+z= 1 x+y+z = 1 x+y =1 , then the…

Q: 3. Consider the system of linear equations Az 5, where A (a) Determine A- (b) Use A-! to find z in…

Q: Solve the system y'-2x-2y 40, %3D x'+y'-2y 0, x(0) =y(0) = 0. O A None of these. 40 %3D e--1) (e 2…

A: Given system of equations is y'-2x-2y=40 1x'+y'-2y=0 2 Equation…

Q: Show that (12z + 1, 10z - 1, z) satisfies the system for z = 0.

A: Given system Now we have to verify (12z+1, 10z-1, z) is a solution set to the system or not.…

Q: Find general solutions of the systems in Problem Attached.

A: Consider the given system of equations Compare the given system of differential equation with x' =…

Q: 5. Find the equation of the system of surfaces which cut orthogonally the system of surfaces x² =…

Q: #8 Find the general solutions of the system. x′= 5 1 0 −1 0 5 1 0 0 0 5 1 0 0 0 5x…

Q: Transform the given system into a single equation of second-orde x = -7x1+ 2x2 x2 = -2x1 – 7x2. Then…

Q: A solution of the homogeneous linear system -3 is Oa X=2 sin 3t - cos 3t Ob X=2 (cos 3t le'-3 sin 3t…

Q: 30. What value of b will make the system y 3x + 2 and y 3.5x+b intersect at the point (2, 8)?

Q: A system of particles are located on the x-axis with masses (in kg) 7, 12, 2, 10, and 3 whose…

A: We have, a system of particles are located on the x-axis with masses (in kg) 7, 12, 2, 10, and 3…

Q: Solve the homogeneous system yi = 2y1 – 5y2 2 = Y1 – 2y2 with initial values y1(0) = 1 and y2(0) =…

A: We will first find the eigenvalues and eigenvectors of the coefficient matrix then form the general…

Q: However, there are likely both lynx and hares around at the same time. We will model interactions…

A: Given a system of equations dHdt=aH-cHLdLdt=-bL+dHL where a,b,c,d are positive constants.

Question

explained answer

(7) The solution of the linear system 3x + 3y + 3z = 3,2x + 2y – 4z = 6
2x + y + z = 2 is
(a) x = 1, y = ,z =
(b) x = 1, y = 2, z = -2
(c) x = 1, y ==,z = ;
-2
%3D
-2
3
3.

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: Given.

VIEW

Step 2: Solve the given system.

VIEW

Step by step

Solved in 2 steps

SEE SOLUTION Check out a sample Q&A here

Similar questions

What is a system of linear equations in the variables x, y, and z?
Find a system of two equations in three variables, x1, x2 and x3 that has the solution set given by the parametric representation x1=t, x2=s and x3=3+st, where s and t are any real numbers. Then show that the solutions to the system can also be written as x1=3+st,x2=s and x3=t.

Recommended textbooks for you

Algebra and Trigonometry (MindTap Course List)

Algebra

ISBN:

9781305071742

Author:

James Stewart, Lothar Redlin, Saleem Watson

Publisher:

Cengage Learning