Construct a consistent and independent system of equations that has (−3,−2) as its solution. Use xx...
Construct a consistent and independent system of equations that has (−3,−2) as its solution. Use xx and yy as your variables, and put your equations in the form Ax+By=CAx+By=C with A≠0A≠0 and B≠0B≠0 using the four answer boxes below.
Note that there are many possible correct answers.
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Construct a consistent and independent system of equations that
has (−3,−2) as its solution. Use xx...
is this consistent or inconsistent? if it is consistent, state wether the equations are dependent or...
is this consistent or inconsistent? if it is consistent, state
wether the equations are dependent or independent.
Graph the following system of equations and find any solutions. Check the answers. Identify the system as consistent or inconsistent. If the system is consistent, state whether the equations are dependent or independent X - 3y - 18 - 3x + y = 6 Click to enlarge graph What is the solution to the system? Select the correct choice below and, if necessary...
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...
Solve by the elimination method. Also determine whether the system is consistent or inconsistent and whether...
Solve by the elimination method. Also determine whether the system is consistent or inconsistent and whether the equations are dependent or independent. 2x-10y -8 3x-15y 12 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. There is only one solution. The solution of the system is OA. There is only one solution. The solution of the systom is OB. There are infinitely many solutions of the form O C. There...
Use Gaussian elimination to find the complete solution to the system of equations, or show that...
Use Gaussian elimination to find the complete solution to the system of equations, or show that none exists. 5x +2y + 3z = -20 5x - 2y - 6z = -14 X+ y - z= 1 Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. O A. There is one solution. The solution set is {0 }. (Simplify your answers.) OB. There are infinitely many solutions. The solution set is {( z)},...
Describe the solutions of the first system of equations below in parametric vector form. Provide a...
Describe the solutions of the first system of equations below in parametric vector form. Provide a geometric comparison with the solution set of the second system of equations below. 4x1 +4x2+8X3 = 16 - 12X1 - 12X2 - 24x3 = - 48 - 6x2 - 6x3 = 18 4x7 +4x2+8X3 = 0 - 12X1 - 12X2 - 24x3 = 0 - 6x2 - 6x3 = 0 X1 Describe the solution set, x = X2 of the first system of equations...
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...
Use Gaussian elimination to find the complete solution to the following system of equations, or show...
Use Gaussian elimination to find the complete solution to the following system of equations, or show that none exists. 6x-2y-22z 0 Select the correct choice below and fill in any answer boxes within your choice. OA. There is one solution. The solution set is ( O B. There are infinitely many solutions. The solution set is ) IzER) Simplify your answers.) (Type expressions using z as the variable.) There is no solution. C.
Mark each statement True or False. Justify each answer. a. A homogeneous system of equations can...
Mark each statement True or False. Justify each answer. a. A homogeneous system of equations can be inconsistent. Choose the correct answer below. O A. True. A homogeneous equation can be written in the form Ax o, where A is an mxn matrix and 0 is the zero vector in R". Such a system Ax -0 always has at least one solution, namely x-0. Thus, a homogeneous system of O B. True. A homogeneous equation cannot be written in the...
Solve the following system of equations using matrices (row operations). If the system has no solution,...
Solve the following system of equations using matrices (row operations). If the system has no solution, say that it is inconsistent. Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. O A. The solution is C D (Simplify your answers.) OB. There are infinitely many solutions. The solution can be written as {(x2)x+ (Simplify your answer. Type an expression using y as the variable as needed.) O C. The system is inconsistent...
The matrix associated with the solution to a system of linear equations in x, y, and...
The matrix associated with the solution to a system of linear equations in x, y, and z is given. Write the solution to the system, if it exists. 1 0 -2 -9 0 1 3 6 00 0 0 Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. O A. X= and z- (Simplify your answers.) B. There are infinitely many solutions. If z is allowed to be any real number, then...
is this consistent or inconsistent? if it is consistent, state
wether the equations are dependent or independent.
Graph the following system of equations and find any solutions. Check the answers. Identify the system as consistent or inconsistent. If the system is consistent, state whether the equations are dependent or independent X - 3y - 18 - 3x + y = 6 Click to enlarge graph What is the solution to the system? Select the correct choice below and, if necessary...
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 by the elimination method. Also determine whether the system is consistent or inconsistent and whether the equations are dependent or independent. 2x-10y -8 3x-15y 12 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. There is only one solution. The solution of the system is OA. There is only one solution. The solution of the systom is OB. There are infinitely many solutions of the form O C. There...
Use Gaussian elimination to find the complete solution to the system of equations, or show that none exists. 5x +2y + 3z = -20 5x - 2y - 6z = -14 X+ y - z= 1 Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. O A. There is one solution. The solution set is {0 }. (Simplify your answers.) OB. There are infinitely many solutions. The solution set is {( z)},...
Describe the solutions of the first system of equations below in parametric vector form. Provide a geometric comparison with the solution set of the second system of equations below. 4x1 +4x2+8X3 = 16 - 12X1 - 12X2 - 24x3 = - 48 - 6x2 - 6x3 = 18 4x7 +4x2+8X3 = 0 - 12X1 - 12X2 - 24x3 = 0 - 6x2 - 6x3 = 0 X1 Describe the solution set, x = X2 of the first system of equations...
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...
Use Gaussian elimination to find the complete solution to the following system of equations, or show that none exists. 6x-2y-22z 0 Select the correct choice below and fill in any answer boxes within your choice. OA. There is one solution. The solution set is ( O B. There are infinitely many solutions. The solution set is ) IzER) Simplify your answers.) (Type expressions using z as the variable.) There is no solution. C.
Mark each statement True or False. Justify each answer. a. A homogeneous system of equations can be inconsistent. Choose the correct answer below. O A. True. A homogeneous equation can be written in the form Ax o, where A is an mxn matrix and 0 is the zero vector in R". Such a system Ax -0 always has at least one solution, namely x-0. Thus, a homogeneous system of O B. True. A homogeneous equation cannot be written in the...
Solve the following system of equations using matrices (row operations). If the system has no solution, say that it is inconsistent. Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. O A. The solution is C D (Simplify your answers.) OB. There are infinitely many solutions. The solution can be written as {(x2)x+ (Simplify your answer. Type an expression using y as the variable as needed.) O C. The system is inconsistent...
The matrix associated with the solution to a system of linear equations in x, y, and z is given. Write the solution to the system, if it exists. 1 0 -2 -9 0 1 3 6 00 0 0 Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. O A. X= and z- (Simplify your answers.) B. There are infinitely many solutions. If z is allowed to be any real number, then...
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