SOLUTION: When solving the system of equations 6x+2y=-1 and -x+10y=5 by Cramer's Rule, what are the values of D, Dx, and Dy A. D=58, Dx=20, Dy=-28 B. D=62, Dx=20, Dy=28 C. D=58, Dx=-20,

Question 1127838: When solving the system of equations 6x+2y=-1 and -x+10y=5 by Cramer's Rule, what are the values of D, Dx, and Dy
A. D=58, Dx=20, Dy=-28
B. D=62, Dx=20, Dy=28
C. D=58, Dx=-20, Dy=-29
D. D=62, Dx--20, Dy=29
Found 2 solutions by MathLover1, ikleyn:
Answer by MathLover1(20849)   (Show Source): You can put this solution on YOUR website!
Your matrix

Write down the main matrix and find its determinant:

Replace the 1st column of the main matrix with the solution vector and find its determinant:

Replace the 2nd column of the main matrix with the solution vector and find its determinant:

so, your answer is: D. , ,

Answer by ikleyn(52777)   (Show Source): You can put this solution on YOUR website!
.

On Cramer's rule for systems of 2 equations in 2 unknowns see the lessons
    - What is a matrix?,
    - Determinant of a 2x2-matrix,
    - HOW TO solve system of linear equations in two unknowns using determinant (Cramer's rule),
    - Solving systems of linear equations in two unknowns using the Cramer's rule,
in this site.

Also, you have this free of charge online textbook in ALGEBRA-II in this site
    - ALGEBRA-II - YOUR ONLINE TEXTBOOK.

The referred lessons are the part of this online textbook under the topic
     "2x2-Matrices, determinants, Cramer's rule for systems in two unknowns"

Save the link to this textbook together with its description

Free of charge online textbook in ALGEBRA-II
https://www.algebra.com/algebra/homework/complex/ALGEBRA-II-YOUR-ONLINE-TEXTBOOK.lesson

into your archive and use when it is needed.

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