Determine if the values of the variables listed are solutions of the system of equations. X-y=6...
8) In the system of equations below, x and y are variables and t is a parameter: a) Find all the values of t such that the system has a unique solution. b) Solve for x and y using the inverse matrix method.
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. x1+ax2−x3 = 2 −x1+4x2−2x3 = −5 −2x1+3x2+x3 = −4 No Solutions: Unique Solution: Infinitely Many Solutions:
Given the system of equations: +y+z= -6 y - 3x = 8 2x + y + 5z = – 19 (a) Determine the type of system: O dependent inconsistent (b) If your answer is dependent, find the complete solution. Write x, y, and z as functions of t, where z = t. If your answer is inconsistent, write DNE in the box for all three variables. 2= y = 2 =
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:
Given that the augmented matrix in row-reduced form is equivalent to the augmented matrix of a system of linear equations, do the following. (Use x, y, and z as your variables, each representing the columns in turn.)1006010−40013(a) Determine whether the system has a solution.The system has one solution.The system has infinitely many solutions. The system has no solution.(b) Find the solution or solutions to the system, if they exist. (If there is no solution, enter NO SOLUTION. If there are infinitely many solutions, express your...
1 Is x=2 y = 2 a solution of the given system of equations? 3x - 4y = 4 X-6y = 2 Is the first equation satisfied? 0 Yes Ο Νο Is the second equation satisfied? Yes Ο Νο 1 As a result, is x=2 y=5 a solution of the given system of equations? 1 Isx=2, y=3 a solution of the given system of equations? eos 3x - 4y = 4 1 15 X-6y = 2 No Is the second...
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...
Using matrix algebra, find a general solution to the following system of equations x' = 3x - 4y and y' = 4x - 7yUsing matrix algebra, find a general solution to the following system of equations: x' = 3x - 4y y' = 4x - 7y The general solution functions are: ( use c1 and c2 as the constants and enter the elements of the eigenvectors as the lowest integer values. If one element of an eigenvector has a negative value enter the first element...
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)...
A41310fr Graph the following system of equations using slope and Y-intercept. Determine the number of solutions for the system. 7x + 8y = 24 14x + 16y - 96 The lines have Single Solution No Solution Many Solutions How to enter graph Done Reset To clear the graph