Roger wrote and solved a system of equations to find the number of nickels (x), dimes...
Roger wrote and solved a system of equations to find the number of nickels (x), dimes (y), and quarters (z) that were in a bank. He found that the general solution was (x,y,z) = ((2x - 4), (8 - z), z). List all of the solutions to Roger's problem.
please show how you reached your answer.
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Roger wrote and solved a system of equations to find the number
of nickels (x), dimes...
Solve the following system of equations. (Enter your answers as a comma-separated list. If there are...
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.)...
Solve the system of equations. If the system has no solution, say that it is inconsistent....
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...
Find the complete solution of the linear system, or show that it is inconsistent. (If the...
Find the complete solution of the linear system, or show that it is inconsistent. (If the system has infinitely many solutions, express your answer in terms of t, where x = x 0, y-t, and Z z(t). If there is no solution, enter NO SOLUTION.) PLEASE 5HOW THE uOK 2x+4y- z=5 x+2y + 4z = 7 (x, y, z) =
Use the Gauss Jordan method to solve the system of equations if the system has infinitely...
Use the Gauss Jordan method to solve the system of equations if the system has infinitely many solutions, give the solution with z arbitrary. 2x - y + 5z = -3 x + 2y - 5z = 16 10y + 4z = 36
Consider the linear system in three equations and three unknowns: 1) x + 2y + 3z...
Consider the linear system in three equations and three unknowns: 1) x + 2y + 3z = 6, 2) 2x − 5y − z = 5, 3) −x + 3y + z = −2 . (a) First, identify the matrix A and the vectors x and vector b such that A vector x = vector b. (b) Write this system of equations as an augmented matrix system. (c) Row reduce this augmented matrix system to show that there is exactly...
Solve the given system of equations. If the system has no solution, say that it is...
Solve the given system of equations. If the system has no solution, say that it is inconsistent x - 2y + 3z 6 2x + y + z = - 3 - 3x + 2y - 22 = -3 Select the correct choice below and fill in any answer boxes within your choice. y .z any real number) A. The solution is x-..y- and z= (Type integers or simplified fractions.) OB. There are infinitely many solutions. Using ordered triplets, they...
Solve the Following 3x3 system of linear equations using Cramer's Rule. Use the expansion by minors...
Solve the Following 3x3 system of linear equations using
Cramer's Rule. Use the expansion by
minors method to evaluate the determinants. Find the
solution ordered triple and check. Show Work:
3x-2y+z=12
x+3y-2z=-9
2x-4y-3z=-4
[EXPAND ALONG ROW 1] "|" is just me manually making rows to show
expansion steps
x= |_______| = |________|______|_____|______|_____|=
________=_____=
y= |_______| = |________|______|_____|______|_____|=
________=_____=
z= |_______| = |________|______|_____|______|_____|=
________=_____=
ordered triple: {(__,__)}
Include checks on x,y,z
sorry i tried uploading picture of problem but it...
Solve the system of linear equations, using the Gauss-Jordan elimination method. (If there is no ...
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) = ( )
Solve the system of equations using substitutions Solve the system of equations using substitution. y=--x +...
Solve the system of equations using substitutions
Solve the system of equations using substitution. y=--x + 2 2 (1) y+2x = 5 Select the correct choice below and, if necessary,fill in the answer box to complete your choice. 0 A. The solution is O B. ° C. The solution is the empty set. (Type an ordered pair. Type an integer or a simplified fraction.) There are infinitely many solutions of the form (x.yl (Type an equation.)
Help with all of this 1. The system of equations may have a unique solution, an...
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 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.)...
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...
Find the complete solution of the linear system, or show that it is inconsistent. (If the system has infinitely many solutions, express your answer in terms of t, where x = x 0, y-t, and Z z(t). If there is no solution, enter NO SOLUTION.) PLEASE 5HOW THE uOK 2x+4y- z=5 x+2y + 4z = 7 (x, y, z) =
Solve the given system of equations. If the system has no solution, say that it is inconsistent x - 2y + 3z 6 2x + y + z = - 3 - 3x + 2y - 22 = -3 Select the correct choice below and fill in any answer boxes within your choice. y .z any real number) A. The solution is x-..y- and z= (Type integers or simplified fractions.) OB. There are infinitely many solutions. Using ordered triplets, they...
Solve the Following 3x3 system of linear equations using
Cramer's Rule. Use the expansion by
minors method to evaluate the determinants. Find the
solution ordered triple and check. Show Work:
3x-2y+z=12
x+3y-2z=-9
2x-4y-3z=-4
[EXPAND ALONG ROW 1] "|" is just me manually making rows to show
expansion steps
x= |_______| = |________|______|_____|______|_____|=
________=_____=
y= |_______| = |________|______|_____|______|_____|=
________=_____=
z= |_______| = |________|______|_____|______|_____|=
________=_____=
ordered triple: {(__,__)}
Include checks on x,y,z
sorry i tried uploading picture of problem but it...
Solve the system of equations using substitutions
Solve the system of equations using substitution. y=--x + 2 2 (1) y+2x = 5 Select the correct choice below and, if necessary,fill in the answer box to complete your choice. 0 A. The solution is O B. ° C. The solution is the empty set. (Type an ordered pair. Type an integer or a simplified fraction.) There are infinitely many solutions of the form (x.yl (Type an equation.)
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