Question

asked 2021-03-11

Determine if (1,3) is a solution to the given system of linear equations.

\(\displaystyle{5}{x}+{y}={8}\)

\(\displaystyle{x}+{2}{y}={5}\)

\(\displaystyle{5}{x}+{y}={8}\)

\(\displaystyle{x}+{2}{y}={5}\)

asked 2020-10-27

Determine if (1,3)is a solution to given system of linear equations

y-2x=3

3x-2y=5

y-2x=3

3x-2y=5

asked 2021-03-12

Determine whether the ordered pair is a solution to the given system of linear equations.

(5,3)

x-y=2

x+y=8

(5,3)

x-y=2

x+y=8

asked 2021-01-16

The reduced row echelon form of the augmented matrix of a system of linear equations is given. Determine whether this system of linear equations is consistent and, if so, find its general solution.
Write the solution in vector form.
\(\displaystyle{b}{e}{g}\in{\left\lbrace{b}{m}{a}{t}{r}{i}{x}\right\rbrace}{1}&{0}&−{1}&{3}&{9}\backslash{0}&{1}&{2}&−{5}&{8}\backslash{0}&{0}&{0}&{0}&{0}{e}{n}{d}{\left\lbrace{b}{m}{a}{t}{r}{i}{x}\right\rbrace}\)

asked 2020-10-23

Determine whether the ordered pair is a solution to the given system of linear equations.

(1,2)

3x-y=1

2x+3y=8

(1,2)

3x-y=1

2x+3y=8

asked 2020-11-16

Use Gaussian elimination to find the complete solution to the system of given equations, or show that none exists

\({(5x,+,8y,-,6y,=,14),(3x,+,4y,-,2z,=,8),(x,+,2y,-,2z,=,3):}\)

\({(5x,+,8y,-,6y,=,14),(3x,+,4y,-,2z,=,8),(x,+,2y,-,2z,=,3):}\)

asked 2021-01-10

Given a linear system of equations below. The matrix equation of the linear system is given by: (see image)

Given a linear system of equations below.The matrix equation of the linear system is given by:Ax=b.The determinant of A is 8.Using Cramers's rule find the value for x.

x+3y+4z=3

2z+6y+9z=5

3x+y-2z=7

Given a linear system of equations below.The matrix equation of the linear system is given by:Ax=b.The determinant of A is 8.Using Cramers's rule find the value for x.

x+3y+4z=3

2z+6y+9z=5

3x+y-2z=7

asked 2021-02-12

Determine whether each of the given sets is a real linear space, if addition and multiplication by real scalars are defined in the usual way. For those that are not, tell which axioms fail to hold. All vectors (x, y, z) in \(V_3\) whose components satisfy a system of three linear equations of the form:

\(a_{11}x+a_{12}y+a_{13}z=0\)

\(a_{21}x+a_{22}y+a_{23}z=0\)

\(a_{31}x+a_{32}y+a_{33}z=0\)

\(a_{11}x+a_{12}y+a_{13}z=0\)

\(a_{21}x+a_{22}y+a_{23}z=0\)

\(a_{31}x+a_{32}y+a_{33}z=0\)

asked 2021-01-27

\(\displaystyle{x}-{y}=-{2}{\left({1},{3}\right)}\)

\(\displaystyle{3}{x}-{y}=-{2}\)

is the ordered pair a solution of the system of linear equations.

or not a solution

\(\displaystyle{3}{x}-{y}=-{2}\)

is the ordered pair a solution of the system of linear equations.

or not a solution

asked 2020-11-08

x-y=-2 (1,3)

3x-y=-2

is the ordered pair a solution of the system of linear equations.

solution or not a solution

3x-y=-2

is the ordered pair a solution of the system of linear equations.

solution or not a solution