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Write the system of equations as a matrix equation Then solve the system, if possible, by using a matrix equation. If not possible, classify the system.
2x+6y=-36
2x+6y=-29
asked Mar 18, 2014 in ALGEBRA 2 by dkinz Apprentice

1 Answer

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The system of equations are image.

Write the system of equations into the matrix form : image, where A is coefficient matrix and X is variable matrix and B is constant matrix.

image

Place the coefficients of the equations and the constant terms and these are separated by dashed line into a matrix that is augmented matrix.

The augmented matrix is image.

image

To make the first element in the first () row a 1, multiply the first row () by image.

image

To make the first element in the second () row a 0, multiply the first row () by negative 2 and add the result to row 2 ().

image

The second row contain zero elements that means there is no variables.

The statement 0 = 7 is false, so the system equation has no solutions.

 

answered Mar 25, 2014 by rob Pupil

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