SOLUTION: Hello, I am having a problem solving this matrix equation... Find x and y [3 -6 1] [2] [-23] [x 4 0] [4]=[12] the y is under the 4 in brackets

Question 255440: Hello, I am having a problem solving this matrix equation...
Find x and y
[3 -6 1] [2] [-23]
[x 4 0] [4]=[12]
the y is under the 4 in brackets
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Start with the given matrix equation

Use matrix multiplication to expand the left side.

Multiply and simplify

Since the matrices are equal, this means that their corresponding entries are equal. So and

Solve each equation to get and

So the solutions are and which means that

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