A linear system may have a unique solution, no solution, or infinitely many solutions
Type or paste question here 6. Solve the system of equations. If there is no solution, say so. If there are infinitely many solutions, write the general form of the solution. S 9x + 6y = -30 | 7x – by = -34 7. Solve the system of equations. If there is no solution, say so. If there are infinitely many solutions, write the general form of the solution. 2x + 3y = 5 | 4x + 6y = 6
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
Ax=O Unique solution (trivial solution x-0) No free variables Infinitely many (nontrivial) solutions Some free variables Every column of A is pivot column | (=> rank(A) = # of columns of A Some columns of A are not pivot columns rank(A)< #of columns of A You can use the above figure to answer the following questions are about homogeneous systems Ax-0. Answer TRUE or FALSE. If the answer is FALSE, choose FALSE with the appropriate counterexample, i.e example that shows...
Solve the system. If there is no solution or if there are infinitely many solutions and the system's equations are dependent, so state. 2x - 8y + 5z = 8 x + 2y z = 0 8x - y - z = 23 Select the correct choice below and fill in any answer boxes within your choice. O A. There is one solution. The solution set is {({}).». (Simplify your answers.) B. There are infinitely many solutions. OC. There is...
Solve the system. If there is no solution or if there are infinitely many solutions and the system's equations are dependent, so state. 8x – y + 2z = 7 x + 2y - z = -3 2x + 2y - 3z = 2 Select the correct choice below and fill in any answer boxes within your choice. , , }. O A. There is one solution. The solution set is {( (Simplify your answers.) OB. There are infinitely many...
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 −...
Find a value of b such that the system of linear questions has infinitely many solutions: 6x + 2by = 3 4x + 2y = 2
-x + 4y = 4 The system has no solution. The system has a unique solution: x - 4y = -4 (x,y) = (OD The system has infinitely many solutions. They must satisfy the following equation: y = 0 The system has no solution. The system has a unique solution: -x + 3y = 6 x - 3y = 6 (x,y) = (01) The system has infinitely many solutions. They must satisfy the following equation: y = 0
#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...
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) = ( )