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Matrix math equation help?

I need help figuring out how to solve this equation. I need help going through the steps to solve future problems. If you can, give me the steps so I can figure out the rest of the problems.

[3x+2] = [ 23 ]

[ 15 ] [-4y-1]*

*Its supposed to be one set of brackets on each side of the equal sign, so the 3x+2 and 15 are supposed to be in the same bracket and the 23 and -4y-1 are supposed to be in the same bracket.

1 Answer

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  • Duke
    Lv 6
    1 decade ago
    Favorite Answer

    If I understand you correctly, on the left side you have a matrix of 2 rows and one column; row 1 has the entry 3x+2 and row 2 has the entry 15. On the left you have a matrix of the same size with the row 1 entry = 23 and the row 2 entry = -4y-1.

    The key point is that 2 matrices are equal if their corresponding entries are equal. So if the matrix on the left side equals the one on the right, then the row 1 column 1 entry of the matrix on the left must equal the row 1 column 1 entry of the matrix on the right.Similarly, the row 2 column 1 entries of the 2 matrices must be equal.

    So we have: 3x+2 = 23, and 15 = -4y-1.

    Solving yields x = 7 and y = -4.

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