Use back-substitution to solve the system of linear equations. (If there is no solution, enter NO SOLUTION. If the system is dependent, set z = a and solve for x and y in terms of a.)
6x − 5y + z | = | 52 |
−y + z | = | 11 |
z | = | 6 |
(x, y, z) =
Use back-substitution to solve the system of linear equations. (If there is no solution, enter NO...
Use back-substitution to solve the system of linear equations. (If there is no solution, enter NO SOLUTION. If the system is dependent, set z = a and solve for x and y in terms of a.) 10x − 4y + z = 47 −y + z = 7 z = 2 (x, y, z) =
Solve the system of equations using matrices. Use the Gaussian elimination method with back-substitution. x + 4y 0 x + 5y + z = 4x y – z= - 33 The solution set is {(DDD)}. (Simplify your answers.)
Solve the system of equations using matrices. Use the Gaussian elimination method with back-substitution. x+4y=0 x+5y+z=1 2x-y-z=31 The solution set is (___, ____ ,____)
Solve the system using either Gaussian elimination with back-substitution or Gauss-Jordan elimination. (If there is no solution, enter NO SOLUTION. If the system has an infinite number of solutions, set y = t and solve for x in terms of t.) −3x + 5y = −35 3x + 4y = −1 4x − 8y = 52
Use Cramer's Rule to solve (if possible) the system of linear equations. (If not possible, enter IMPOSSIBLE.) 4x - 2y + 3z = -11 2x + 2y + 5z = 1 8x - 5y – 2z = 10 (x, y, z) = (I
Use the method of substitution to solve the following system of equations. If the system is dependent, express the solution set in terms of one of the variables. Leave all fractional answers in fraction form. s 2x + 5y = –21 | 10x + 25y = – 105 Fill in the blank by performing the indicated elementary row operation(s). -4R2+R1
Use Gauss-Jordan row reduction to solve the given system of equations. HINT [See Examples 1-6.] (If there is no solution, enter NO SOLUTION. If the system is dependent, express your answer in terms of x, where y = y(x) and z = z(x).) x+y-8z=3 x-y-3z=0 2/3x -11/3z=2 (x,y,z)=
Solve the system of equations by the Gaussian elimination method. (If the system is dependent, enter a general solution in terms of c. If there is no solution 3y + 2z = 1 3x - 4y - 32-11 3x + Y Z-12 2x -
Solve the system of equations using matrices. Use the Gaussian elimination method with back-substitution 3x + 3y + 6z = 12 3x + 2y + 2z = 7 2x + 4y + 192 = 11 The solution set is {000) (Simplify your answers.) ha ancier hovee
Solve the following system of equations using matrices (row operations). If the system has no solution, say that it is inconsistent. x+y-Z = 6 4x - 5y + 172 = - 15 x + 3y - 52 = 14