Find the complete solution of the linear system, or show that it is inconsistent. (If the...
Solve the system of equations. If the system has no solution, say that it is inconsistent. 4x + 2y + z = 2 | 15x + 3y = 0 Select the correct choice below and, if necessary, fill in any answer boxes within your choice. 8 3 O A. The solution is x= y= and z= (Type integers or simplified fractions.) OB. There are infinitely many solutions. The solutions set is {(x.y.z) | x = 0, y = z is...
Solve the system of linear equations, using the Gauss-Jordan elimination method. (If there is no solution, enter NO SOLUTION. If there are infinitely many solutions, express your answer in terms of the parameters t and/or s.) x − 2y + 3z = 3 2x + 3y − z = 0 x + 2y − 3z = −7 (x, y, z) = ( )
use linear algebra methods to solve only please 2. Find the value(s) of a (if they exist) for which the system of equations has: (a) No solution. (b) One unique solution. (c) Infinitely many solutions. x + y - z = 2 x + 2y + z = 3 2x + y - 4z = a
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 =...
Solve the following system of equations. (Enter your answers as a comma-separated list. If there are infinitely many solutions, enter a parametric solution using t and/or s. If there is no solution, enter NONE.) 3y + 2z 4 2x-y-3z 2 2x 2y z6 (x, y, 2) Solve the following system of equations. (Enter your answers as a comma-separated list. If there are infinitely many solutions, enter a parametric solution using t and/or s. If there is no solution, enter NONE.)...
#19 Solve the system. State whether it is inconsistent or has infinitely many solutions. If the system has infinitely many solutions, write the solution set with z arbitrary. 2x+2y-6z = 5 5x + y Z-6 -X- y + 32 - 4 Select the correct choice below and fill in any answer boxes within your choice A. There is one solution. The solution set is (CHD). (Simplify your answers.) B. There are infinitely many solutions. The solution set is {2)), where...
Help with all of this 1. The system of equations may have a unique solution, an infinite number of solutions, or no solution. Use matrices to find the general solution of the system, if a solution exists. (If there is no solution, enter NO SOLUTION. If there are infinitely many solutions, express your answers in terms of z as in Example 3.) 2x − 5y + z = 8 x + 4y − 6z = 4 3x − 4y −...
Solve the system. State whether it is inconsistent or has infinitely many solutions. If the system has infinitely many solutions, write the solution set with z arbitrary 4x + 4y - 8z = 5 3x + y - Z = 6 -X-y + 225 Select the correct choice below and will in any answer boxes within your choice. at O A. There is one solution. The solution set is ( CD) (Simplify your answers ) O B. There are infinitely...
7. [-12 Points] DETAILS TANFIN11 2.1.009. Determine whether the system of linear equations has one and only one solution, infinitely many solutions, or no solution. 4x - 5y = 31 2x + 3y = -1 O one and only one solution O infinitely many solutions O no solution Find the solution, if one exists. (If there are infinitely many solutions, express x and y in terms of the parameter t. If there is no solution, enter NO SOLUTION.) (x, y)...
Solve the system. If a system has ope unique solution, write the solution set. Otherwise, determine the number of solutions to the system, and determine whether the system is inconsistent, or the equations are dependent. 2x+3y+5z=-23 -4x+2y+4z=9 -6x=y+13z=-5 Select one: a{(-1, -2, -3) b. Infinitely many solutions, dependent a. No solution, inconsistent