Question

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 comma to separate answers as needed.)

B: There are infinitely many solutions.

C: the solution is the empty set.

Please show work and highlight answer.

Answer #1

put in another equation

.

.

put y=3 in first equation

.

now put y=-3 in first equation

solution are

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 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...

Find all relative extrema and classify each as a maximum or
minimum. Use the second-derivative test where possible.
f(x)equals=125 x cubed minus 15 x plus 2125x3−15x+2
Identify all the relative minima. Select the correct choice
below and, if necessary, fill in the answer box to complete your
choice.
A.The relative minima are
nothing.
(Simplify your answer. Type an ordered pair. Use integers or
fractions for any numbers in the expression. Use a comma to
separate answers as needed.)
B.
There...

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 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 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.

Solve the following system of equations.
{−x+4y−z=-4
3x−y+2z=6
2x−3y+3z=−2
Give your answer as an ordered triple
(x,y,z).

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