Question

Solve the system of equations.

4x-3y+z = 18

x+y = 7

Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice.

A. This system has exactly one solution. The solution is left parenthesis nothing comma nothing comma nothing right parenthesis . (Type integers or simplified fractions.)

B. This system has infinitely many solutions of the form left parenthesis nothing comma nothing comma z right parenthesis , where z is any real number. (Type expressions using z as the variable. Use integers or fractions for any numbers in the expressions.)

C. This solution has no solution.

Answer #1

For unique solution, number of equations required will be equal to the number of variables.

Since there are two equations and variable are three, therefore there will not be a unique solution.

For any particular value of z, there will be two equations in x and y which can be solved to find unique value of x and y.

Since the value of z can be any real number, therefore there will be infinite many solution which can be represented as ( , , z).

Hence the option (B) is correct.

Use row operations to solve the system. xplus yminus zequals 1
3xminus yplus zequals 7 xminus 2yplus 4zequals 32 Select the
correct choice below and, if necessary, fill in the answer boxes
to complete your choice. A. This system has exactly one solution.
The solution is left parenthesis nothing comma nothing comma
nothing right parenthesis . (Type an exact answer in simplified
form.) B. This system has infinitely many solutions of the form
left parenthesis nothing comma nothing comma z...

Use Gaussian elimination to find the complete solution to the
following system of equations, or show that none exists.
{5x + 17y + 7z = 14
{2x + 7y -5z = -3
{ x + 3y - 3z = 8
Find the row-echelon form of the matrix for the given system of
equations. (Do not include the vertical bar in the
augmentedmatrix.)
Select the correct choice below and, if necessary, fill in the
answer boxes to complete your choice.
A....

Solve this system of equations.
4x + 3y + z = -4
x - 3y + 2z = -25
11x - 2y +3z = -63
Write the solution as an ordered triple.
PLEASE MAKE SURE THIS IS CORRECT. I KEEP PAYING FOR THE WRONG
ANSWERS.

Use Gaussian elimination to find the complete solution to the
following system of equations, or show that none exists.
{-x + y + z = -1
{-x + 5y -15z = -29
{ 7x - 6y - 11z = 0
Find the row-echelon form of the matrix for the given system of
equations.
(Do not include the vertical bar in the augmented matrix.)
Select the correct choice below and, if necessary, fill in the
answer boxes to complete your choice....

Use Gaussian elimination to find the complete solution to the
following system of equations, or show that none exists.
{-x + y + z = -2
{-x + 5y -19z = -30
{ 7x - 5y - 17z = 0
Find the row-echelon form of the matrix for the given system of
equations. (Do not include the vertical bar in the augmented
matrix.)
Select the correct choice below and, if necessary, fill in the
answer boxes to complete your choice....

Use the echelon method to solve the following system of two
equations in two unknowns. Check your answer.
4x?3y = ?7
?8x+6y equals = 14
Select the correct choice below? and, if? necessary, fill in the
answer box to complete your choice.
A. The solution is (Type an ordered? pair.)
B. There are infinitely many solutions. The solution is (?, y?),
where y is any real number.
C.There is no solution.

Give all solutions of the nonlinear system of equations,
including those with nonreal complex components.
3x^2 + 2y^2 = 45
2x^2 – 3y^2 = -9
Select the correct choice below and if necessary, fill in the
answer box to complete your choice.
A: The solution set is {___} ( type an ordered pair. Type an
exact answer, using radicals as needed. Use integers or fractions
for any numbers in the expression. Express complex numbers in terms
of i. use a...

For a real number "a", consider the system of equations:
x+y+z=2
2x+3y+3z=4
2x+3y+(a^2-1)z=a+2
Which of the following statements is true?
A. If a= 3 then the system is inconsistent.
B. If a= 1 then the system has infinitely many solutions.
C. If a=−1 then the system has at least two distinct
solutions.
D. If a= 2 then the system has a unique solution.
E. If a=−2 then the system is inconsistent.

Use Gaussian elimination with backward substitution to solve the
system of linear equations.
x+y-z=-4
-x-4y+4z=1
-4x-3y+2z=15
What is the solution set?

4. Solve the system of equations.
2x – y + z = –7
x – 3y + 4z = –19
–x + 4y – 3z = 18.
A. There is one solution (–1, –2, –3).
B. There is one solution (1, 2, 3).
C. There is one solution (–1, 2, –3).
D. There is one solution (1, –2, 3).

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