Solve using matrices: 5 x − 2 y = − 44 , 2 x + 5 y = − 6.

Question

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Answer 1

Textbook Question

Chapter C, Problem 1DE

Solve using matrices:

5 x − 2 y = − 44 , 2 x + 5 y = − 6.

Expert Solution & Answer

To determine

To calculate: The solution of the linear equation by using matrices:

5x−2y=−442x+5y=−6

Answer to Problem 1DE

Solution:

The solution of the linear equation 5x−2y=−442x+5y=−6 is (−8,2)_.

Explanation of Solution

Given information:

The set of linear equation:

5x−2y=−442x+5y=−6

Formula Used:

Steps to convert the linear equation of two variable in matrix form:

Step 1: A set of linear equation should be written in the form of matrix where x coefficients should be written in first column, y coefficients should be written in second column and constants must be written in third column. Separate constants from x and y coefficients by dash line.

Step 2: The main goal is to transform the above matrix into below form:

[abc0de]

Step 3: verified the results.

Calculation:

Consider the linear equation is,

5x−2y=−442x+5y=−6

The above linear equation in matrix form can be written as,

[5−2−4425−6]

Multiply row 1 by 15,

New row 1=15(Row 1 from step above)=15(5−2−44)=(1−25−445)

The set of linear equations become,

[1−25−44525−6]

Add −2 times the row 1 to the row 2,

New row 2=−2(1−25−445)+(25−6)=(−245885)+(25−6)=(0295585)

The set of linear equations become,

[1−25−4450295585]

Multiply row 2 by 529,

New row 2=529(Row 2 from step above)=529(0295585)=(012)

The set of linear equations become,

[1−25−445012]

Add 25 times the row 2 to the row 1,

New row 1=25(012)+(1−25−445)=(02545)+(1−25−445)=(10−8)

The set of linear equations become,

[10−8012]

Reinsert the variables to have a set of linear equations,

x=−8y=2

The solution is (−8,2).

To check the answer:

Now, substitute the value x=−8,y=2 in the equation 5x−2y=−44

Therefore,

5x−2y=−445(−8)−2(2)=?−44−40−4=?−44−44=?−44

Solution verified.

Hence, the solution of the linear equation 5x−2y=−442x+5y=−6 is (−8,2).

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Answer 2

Textbook Question

Chapter C, Problem 1DE

Solve using matrices:

5 x − 2 y = − 44 , 2 x + 5 y = − 6.

Expert Solution & Answer

To determine

To calculate: The solution of the linear equation by using matrices:

5x−2y=−442x+5y=−6

Answer to Problem 1DE

Solution:

The solution of the linear equation 5x−2y=−442x+5y=−6 is (−8,2)_.

Explanation of Solution

Given information:

The set of linear equation:

5x−2y=−442x+5y=−6

Formula Used:

Steps to convert the linear equation of two variable in matrix form:

Step 1: A set of linear equation should be written in the form of matrix where x coefficients should be written in first column, y coefficients should be written in second column and constants must be written in third column. Separate constants from x and y coefficients by dash line.

Step 2: The main goal is to transform the above matrix into below form:

[abc0de]

Step 3: verified the results.

Calculation:

Consider the linear equation is,

5x−2y=−442x+5y=−6

The above linear equation in matrix form can be written as,

[5−2−4425−6]

Multiply row 1 by 15,

New row 1=15(Row 1 from step above)=15(5−2−44)=(1−25−445)

The set of linear equations become,

[1−25−44525−6]

Add −2 times the row 1 to the row 2,

New row 2=−2(1−25−445)+(25−6)=(−245885)+(25−6)=(0295585)

The set of linear equations become,

[1−25−4450295585]

Multiply row 2 by 529,

New row 2=529(Row 2 from step above)=529(0295585)=(012)

The set of linear equations become,

[1−25−445012]

Add 25 times the row 2 to the row 1,

New row 1=25(012)+(1−25−445)=(02545)+(1−25−445)=(10−8)

The set of linear equations become,

[10−8012]

Reinsert the variables to have a set of linear equations,

x=−8y=2

The solution is (−8,2).

To check the answer:

Now, substitute the value x=−8,y=2 in the equation 5x−2y=−44

Therefore,

5x−2y=−445(−8)−2(2)=?−44−40−4=?−44−44=?−44

Solution verified.

Hence, the solution of the linear equation 5x−2y=−442x+5y=−6 is (−8,2).

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Answer 3

Textbook Question

Chapter C, Problem 1DE

Solve using matrices:

5 x − 2 y = − 44 , 2 x + 5 y = − 6.

Expert Solution & Answer

To determine

To calculate: The solution of the linear equation by using matrices:

5x−2y=−442x+5y=−6

Answer to Problem 1DE

Solution:

The solution of the linear equation 5x−2y=−442x+5y=−6 is (−8,2)_.

Explanation of Solution

Given information:

The set of linear equation:

5x−2y=−442x+5y=−6

Formula Used:

Steps to convert the linear equation of two variable in matrix form:

Step 1: A set of linear equation should be written in the form of matrix where x coefficients should be written in first column, y coefficients should be written in second column and constants must be written in third column. Separate constants from x and y coefficients by dash line.

Step 2: The main goal is to transform the above matrix into below form:

[abc0de]

Step 3: verified the results.

Calculation:

Consider the linear equation is,

5x−2y=−442x+5y=−6

The above linear equation in matrix form can be written as,

[5−2−4425−6]

Multiply row 1 by 15,

New row 1=15(Row 1 from step above)=15(5−2−44)=(1−25−445)

The set of linear equations become,

[1−25−44525−6]

Add −2 times the row 1 to the row 2,

New row 2=−2(1−25−445)+(25−6)=(−245885)+(25−6)=(0295585)

The set of linear equations become,

[1−25−4450295585]

Multiply row 2 by 529,

New row 2=529(Row 2 from step above)=529(0295585)=(012)

The set of linear equations become,

[1−25−445012]

Add 25 times the row 2 to the row 1,

New row 1=25(012)+(1−25−445)=(02545)+(1−25−445)=(10−8)

The set of linear equations become,

[10−8012]

Reinsert the variables to have a set of linear equations,

x=−8y=2

The solution is (−8,2).

To check the answer:

Now, substitute the value x=−8,y=2 in the equation 5x−2y=−44

Therefore,

5x−2y=−445(−8)−2(2)=?−44−40−4=?−44−44=?−44

Solution verified.

Hence, the solution of the linear equation 5x−2y=−442x+5y=−6 is (−8,2).

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Answer 4

Textbook Question

Chapter C, Problem 1DE

Solve using matrices:

5 x − 2 y = − 44 , 2 x + 5 y = − 6.

Expert Solution & Answer

To determine

To calculate: The solution of the linear equation by using matrices:

5x−2y=−442x+5y=−6

Answer to Problem 1DE

Solution:

The solution of the linear equation 5x−2y=−442x+5y=−6 is (−8,2)_.

Explanation of Solution

Given information:

The set of linear equation:

5x−2y=−442x+5y=−6

Formula Used:

Steps to convert the linear equation of two variable in matrix form:

Step 1: A set of linear equation should be written in the form of matrix where x coefficients should be written in first column, y coefficients should be written in second column and constants must be written in third column. Separate constants from x and y coefficients by dash line.

Step 2: The main goal is to transform the above matrix into below form:

[abc0de]

Step 3: verified the results.

Calculation:

Consider the linear equation is,

5x−2y=−442x+5y=−6

The above linear equation in matrix form can be written as,

[5−2−4425−6]

Multiply row 1 by 15,

New row 1=15(Row 1 from step above)=15(5−2−44)=(1−25−445)

The set of linear equations become,

[1−25−44525−6]

Add −2 times the row 1 to the row 2,

New row 2=−2(1−25−445)+(25−6)=(−245885)+(25−6)=(0295585)

The set of linear equations become,

[1−25−4450295585]

Multiply row 2 by 529,

New row 2=529(Row 2 from step above)=529(0295585)=(012)

The set of linear equations become,

[1−25−445012]

Add 25 times the row 2 to the row 1,

New row 1=25(012)+(1−25−445)=(02545)+(1−25−445)=(10−8)

The set of linear equations become,

[10−8012]

Reinsert the variables to have a set of linear equations,

x=−8y=2

The solution is (−8,2).

To check the answer:

Now, substitute the value x=−8,y=2 in the equation 5x−2y=−44

Therefore,

5x−2y=−445(−8)−2(2)=?−44−40−4=?−44−44=?−44

Solution verified.

Hence, the solution of the linear equation 5x−2y=−442x+5y=−6 is (−8,2).

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Answer 5

Textbook Question

Answer 6

Textbook Question

Answer 7

Expert Solution & Answer

To determine

To calculate: The solution of the linear equation by using matrices:

5x−2y=−442x+5y=−6

Answer to Problem 1DE

Solution:

The solution of the linear equation 5x−2y=−442x+5y=−6 is (−8,2)_.

Explanation of Solution

Given information:

The set of linear equation:

5x−2y=−442x+5y=−6

Formula Used:

Steps to convert the linear equation of two variable in matrix form:

Step 1: A set of linear equation should be written in the form of matrix where x coefficients should be written in first column, y coefficients should be written in second column and constants must be written in third column. Separate constants from x and y coefficients by dash line.

Step 2: The main goal is to transform the above matrix into below form:

[abc0de]

Step 3: verified the results.

Calculation:

Consider the linear equation is,

5x−2y=−442x+5y=−6

The above linear equation in matrix form can be written as,

[5−2−4425−6]

Multiply row 1 by 15,

New row 1=15(Row 1 from step above)=15(5−2−44)=(1−25−445)

The set of linear equations become,

[1−25−44525−6]

Add −2 times the row 1 to the row 2,

New row 2=−2(1−25−445)+(25−6)=(−245885)+(25−6)=(0295585)

The set of linear equations become,

[1−25−4450295585]

Multiply row 2 by 529,

New row 2=529(Row 2 from step above)=529(0295585)=(012)

The set of linear equations become,

[1−25−445012]

Add 25 times the row 2 to the row 1,

New row 1=25(012)+(1−25−445)=(02545)+(1−25−445)=(10−8)

The set of linear equations become,

[10−8012]

Reinsert the variables to have a set of linear equations,

x=−8y=2

The solution is (−8,2).

To check the answer:

Now, substitute the value x=−8,y=2 in the equation 5x−2y=−44

Therefore,

5x−2y=−445(−8)−2(2)=?−44−40−4=?−44−44=?−44

Solution verified.

Hence, the solution of the linear equation 5x−2y=−442x+5y=−6 is (−8,2).

Answer 8

Expert Solution & Answer

To determine

To calculate: The solution of the linear equation by using matrices:

5x−2y=−442x+5y=−6

Answer to Problem 1DE

Solution:

The solution of the linear equation 5x−2y=−442x+5y=−6 is (−8,2)_.

Explanation of Solution

Given information:

The set of linear equation:

5x−2y=−442x+5y=−6

Formula Used:

Steps to convert the linear equation of two variable in matrix form:

Step 1: A set of linear equation should be written in the form of matrix where x coefficients should be written in first column, y coefficients should be written in second column and constants must be written in third column. Separate constants from x and y coefficients by dash line.

Step 2: The main goal is to transform the above matrix into below form:

[abc0de]

Step 3: verified the results.

Calculation:

Consider the linear equation is,

5x−2y=−442x+5y=−6

The above linear equation in matrix form can be written as,

[5−2−4425−6]

Multiply row 1 by 15,

New row 1=15(Row 1 from step above)=15(5−2−44)=(1−25−445)

The set of linear equations become,

[1−25−44525−6]

Add −2 times the row 1 to the row 2,

New row 2=−2(1−25−445)+(25−6)=(−245885)+(25−6)=(0295585)

The set of linear equations become,

[1−25−4450295585]

Multiply row 2 by 529,

New row 2=529(Row 2 from step above)=529(0295585)=(012)

The set of linear equations become,

[1−25−445012]

Add 25 times the row 2 to the row 1,

New row 1=25(012)+(1−25−445)=(02545)+(1−25−445)=(10−8)

The set of linear equations become,

[10−8012]

Reinsert the variables to have a set of linear equations,

x=−8y=2

The solution is (−8,2).

To check the answer:

Now, substitute the value x=−8,y=2 in the equation 5x−2y=−44

Therefore,

5x−2y=−445(−8)−2(2)=?−44−40−4=?−44−44=?−44

Solution verified.

Hence, the solution of the linear equation 5x−2y=−442x+5y=−6 is (−8,2).

Answer 9

Expert Solution & Answer

Answer 10

Expert Solution & Answer

Answer 11

To determine

To calculate: The solution of the linear equation by using matrices:

5x−2y=−442x+5y=−6

Answer 12

Answer to Problem 1DE

Solution:

The solution of the linear equation 5x−2y=−442x+5y=−6 is (−8,2)_.

Answer 13

Explanation of Solution

Given information:

The set of linear equation:

5x−2y=−442x+5y=−6

Formula Used:

Steps to convert the linear equation of two variable in matrix form:

Step 1: A set of linear equation should be written in the form of matrix where x coefficients should be written in first column, y coefficients should be written in second column and constants must be written in third column. Separate constants from x and y coefficients by dash line.

Step 2: The main goal is to transform the above matrix into below form:

[abc0de]

Step 3: verified the results.

Calculation:

Consider the linear equation is,

5x−2y=−442x+5y=−6

The above linear equation in matrix form can be written as,

[5−2−4425−6]

Multiply row 1 by 15,

New row 1=15(Row 1 from step above)=15(5−2−44)=(1−25−445)

The set of linear equations become,

[1−25−44525−6]

Add −2 times the row 1 to the row 2,

New row 2=−2(1−25−445)+(25−6)=(−245885)+(25−6)=(0295585)

The set of linear equations become,

[1−25−4450295585]

Multiply row 2 by 529,

New row 2=529(Row 2 from step above)=529(0295585)=(012)

The set of linear equations become,

[1−25−445012]

Add 25 times the row 2 to the row 1,

New row 1=25(012)+(1−25−445)=(02545)+(1−25−445)=(10−8)

The set of linear equations become,

[10−8012]

Reinsert the variables to have a set of linear equations,

x=−8y=2

The solution is (−8,2).

To check the answer:

Now, substitute the value x=−8,y=2 in the equation 5x−2y=−44

Therefore,

5x−2y=−445(−8)−2(2)=?−44−40−4=?−44−44=?−44

Solution verified.

Hence, the solution of the linear equation 5x−2y=−442x+5y=−6 is (−8,2).

Answer 14

Ch. C - Solve using matrices: 5x2y=44,2x+5y=6.Ch. C - Solve using matrices: x2y+3z=4,2xy+z=1,4x+y+z=1.Ch. C - a Solve using matrices 1. Ch. C - a Solve using matrices 2. Ch. C - a Solve using matrices 3. Ch. C - a Solve using matrices 4. Ch. C - a Solve using matrices 5x3y=2,4x+2y=5 Ch. C - a Solve using matrices 6. Ch. C - a Solve using matrices 2x3y=50,5x+y=40 Ch. C - a Solve using matrices 8.

Solve using matrices: 5 x − 2 y = − 44 , 2 x + 5 y = − 6.

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Answer to Problem 1DE

Explanation of Solution

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Chapter C Solutions