Explanation Given information: The system of equations is { 2 x + 7 y = 13 6 x + 16 y = 30 . Concept used: Matrix equation for system of equations: For a system of equations { a x + b y = m c x + d y = n , the corresponding matrix equation is given by, [ a b c d ] [ x y ] = [ m n ] ...... (1) Here, [ a b c d ] is the coefficient matrix, [ x y ] is the variable matrix and [ m n ] is the known matrix. Cramer’s rule: If a system of n linear equations in the n variables x 1 , x 2 , x 3 , … , x n is equivalent to the matrix equation D X = B , and if | D | ≠ 0 , then its solutions are, x 1 = | D x 1 | | D | , x 2 = | D x 2 | | D | , … , x n = | D x n | | D | Here, D x i is the matrix obtained by replacing the ith column of D by the n × 1 matrix B. Calculation: The given system of equation is written in the form of matrix equation as, [ 2 7 6 16 ] [ x y ] = [ 13 30 ] Compare the above matrix equation with the equation (1) to obtain the coefficient matrix A and matrix B as, A = [ 2 7 6 16 ] B = [ 13 30 ] In the given system of equations, there are two variables x and y therefore two matrix D x and D y are to be obtained

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ISBN: 9781305115545

Author: James Stewart, Lothar Redlin, Saleem Watson

Publisher: Cengage Learning

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Chapter 6, Problem 67E

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The solution of system of equations {2x+7y=136x+16y=30 using Cramer’s rule.

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Chapter 6, Problem 66E

Chapter 6, Problem 68E

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The solution of system of equations { 2 x + 7 y = 13 6 x + 16 y = 30 using Cramer’s rule.

Solution Summary: The author explains the Cramer's rule for the solution of system of equations cax+by=m cx +dy=nend

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The solution of system of equations {2x+7y=136x+16y=30 using Cramer’s rule.

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Chapter 6 Solutions

The solution of system of equations { 2 x + 7 y = 13 6 x + 16 y = 30 using Cramer’s rule.

Solution Summary: The author explains the Cramer's rule for the solution of system of equations cax+by=m cx +dy=nend

Videos

To find: The solution of system of equations {2x+7y=136x+16y=30 using Cramer’s rule.

Want to see the full answer?

Chapter 6 Solutions

To find:

The solution of system of equations {2x+7y=136x+16y=30 using Cramer’s rule.