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Solve for x in the following matrix equation.

[5x-8 1] = [2 1]
[3 4m-1] [3 7m+6]

How do you do this? I hardly know anything about this... The packet I got that was supposed to help me understand matrices and stuff just made me more confused.

2 answers

each element must be identical in the two matrices (you already have 1=1 and 3=3), so you just have to solve

5x-8 = 2
4m-1 = 7m+6

then use those values to fill in the unknown elements.
since the two matrices are equal, corresponding elements of the matrices are also equal.
so : 5x -8 = 2
5x - 8 + 8 = 2 + 8
5x = 10
x = 2
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