Construct a system of two linear equations that has no solution. In a paragraph, explain how...
Construct a system of two linear equations that has no solution. In a paragraph, explain how you know that the system has no solution. Also provide a statement that tells what it means not to have a solution
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Construct a system of two linear equations that has no solution.
In a paragraph, explain how...
please explain every step. thanks Consider the following system of linear equations ri (a) For what...
please explain every step. thanks
Consider the following system of linear equations ri (a) For what values of r and s is this system of linear equations inconsistent? (b) For what values of and s does this system of linear equations have infinitely many solutions? (ey For what values of and s does this system of linear equations have a unique solution?
Show that the system of equations has no solution. (3x + y + 3z = 3...
Show that the system of equations has no solution. (3x + y + 3z = 3 4x - y + 2z = 4 x-2y - z=0 Why does the system have no solution? Choose the correct answer beow. O A. Solving the system of equations results in a false statement. Therefore, the system has no solution. B. Solving the system of equations results in a true statement. Therefore, the system has no solution. OC. A system of three linear equations...
Solving a 2x2 system of linear equations that is inconsistent or... Two systems of equations are...
Solving a 2x2 system of linear equations that is inconsistent or... Two systems of equations are given below. For each system, choose the best description of its solution. If applicable, give the solution. O The system has no solution. The system has a unique solution: x + 4y - 8 = 0 -x - 4y = 8 (y= 00 The system has infinitely many solutions. They must satisfy the following equation: The system has no solution. x + 4y =...
Develop a structure plan for the solution to two simultaneous linear equations (i.e. the equations of...
Develop a structure plan for the solution to two simultaneous linear equations (i.e. the equations of two straight lines). Your algorithm must be able to handle all possible situations; that is, lines intersecting (one solution), parallel (no solution), or coincident (infinite solutions). Write a program to implement your algorithm, and test it on some equations for which you know the solutions, such as: 6x - 3y = 12, -2x + y = -4, (Lines coincide) x + y = 3,...
Determine the values of a for which the following system of linear equations has no solutions, a unique solution, or inf...
Determine the values of a for which the following system of linear equations has no solutions, a unique solution, or infinitely many solutions. You can select 'always', 'never', 'a = ', or 'a ≠', then specify a value or comma-separated list of values. ax1−5x2+5x3 = 10 −3x1+4x2−x3 = −9 x1+2x2+7x3 = −6 when does it have.... No Solutions: Many Solutions:
The system of linear differential equations has the following solution e ( sitct)What is the type...
The system of linear differential equations has the following solution e ( sitct)What is the type of the phase portrait for sin 4t + 3 cos 4t this system? O spiral source nodal source spiral sink center O nodal sink saddle
1. {5 points) The solution to the following system of linear equations is (2.0). Use a...
1. {5 points) The solution to the following system of linear equations is (2.0). Use a method of your choice to show how this answer could be arrived at. 3x + y = 6 2x + 5y = 4 2. {5 points) The following system of equations has no solution. Use the echelon method to show how this conclusion was arrived at. 2x - 3y = 2 4x - y = 5 3. {5 points) The solution to the system...
True or false, A solution of a system of linear equations is an ordered pair that satisfies one of the equations in the system
True or false, A solution of a system of linear equations is an ordered pair that satisfies one of the equations in the system?
Geometrically, why does a homogenous system of two linear equations in three variables have infinitely many...
Geometrically, why does a homogenous system of two linear equations in three variables have infinitely many solutions? If the system were nonhomogeneous, how many solutions might there be? Explain this geometrically.
Problem 1 (Linear Systems of Equations). (a) Determine the values of a for which the follow- ing ...
Problem 1 (Linear Systems of Equations). (a) Determine the values of a for which the follow- ing system of equations have no solution, exactly one solution, infinitely many solutions (a + 2)y + (a2-4)2 = (0-2) (b) If A = 4-1 0 a 2b a a be the augmented matrix of a linear system of equations then evaluate the values of a and b for which the linear system has no solution? exactly one solution? one parameter solution? two parameter...
please explain every step. thanks
Consider the following system of linear equations ri (a) For what values of r and s is this system of linear equations inconsistent? (b) For what values of and s does this system of linear equations have infinitely many solutions? (ey For what values of and s does this system of linear equations have a unique solution?
Show that the system of equations has no solution. (3x + y + 3z = 3 4x - y + 2z = 4 x-2y - z=0 Why does the system have no solution? Choose the correct answer beow. O A. Solving the system of equations results in a false statement. Therefore, the system has no solution. B. Solving the system of equations results in a true statement. Therefore, the system has no solution. OC. A system of three linear equations...
Solving a 2x2 system of linear equations that is inconsistent or... Two systems of equations are given below. For each system, choose the best description of its solution. If applicable, give the solution. O The system has no solution. The system has a unique solution: x + 4y - 8 = 0 -x - 4y = 8 (y= 00 The system has infinitely many solutions. They must satisfy the following equation: The system has no solution. x + 4y =...
Develop a structure plan for the solution to two simultaneous linear equations (i.e. the equations of two straight lines). Your algorithm must be able to handle all possible situations; that is, lines intersecting (one solution), parallel (no solution), or coincident (infinite solutions). Write a program to implement your algorithm, and test it on some equations for which you know the solutions, such as: 6x - 3y = 12, -2x + y = -4, (Lines coincide) x + y = 3,...
The system of linear differential equations has the following solution e ( sitct)What is the type of the phase portrait for sin 4t + 3 cos 4t this system? O spiral source nodal source spiral sink center O nodal sink saddle
1. {5 points) The solution to the following system of linear equations is (2.0). Use a method of your choice to show how this answer could be arrived at. 3x + y = 6 2x + 5y = 4 2. {5 points) The following system of equations has no solution. Use the echelon method to show how this conclusion was arrived at. 2x - 3y = 2 4x - y = 5 3. {5 points) The solution to the system...
Problem 1 (Linear Systems of Equations). (a) Determine the values of a for which the follow- ing system of equations have no solution, exactly one solution, infinitely many solutions (a + 2)y + (a2-4)2 = (0-2) (b) If A = 4-1 0 a 2b a a be the augmented matrix of a linear system of equations then evaluate the values of a and b for which the linear system has no solution? exactly one solution? one parameter solution? two parameter...
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