Asked by cecelia
solve the following simultaneous equations using matrices 3x-6y=24 and -4x+5y=-23
Answers
Answered by
drwls
Assuming you know how to calculate a determinant, the answer is
x = |24 -6| / |3 -6| = -18/-9 = 2
....|-23 5|/ |-4 5|
You can get y by substitution of x=2 in either equation, or from a separate ratio of determinants.
If you are not familiar with the notation, nor why I chose those numbers, nor how to calculate the determinants, then you need to review the subject. Your textbook should contain that information.
x = |24 -6| / |3 -6| = -18/-9 = 2
....|-23 5|/ |-4 5|
You can get y by substitution of x=2 in either equation, or from a separate ratio of determinants.
If you are not familiar with the notation, nor why I chose those numbers, nor how to calculate the determinants, then you need to review the subject. Your textbook should contain that information.
Answered by
drwls
Those are supposed to be square 2 x 2 matrices in numerator and denominator of my previous answer. It is hard to get the type spacing right to align the top and bottom halves. The | | symbols denote the determinant of the matrix.
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