How do you find the values of x and y given #[(y), (x)]=[(2x-1), (y-5)]#?

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Answer 1 · 2017-02-09T10:41:29

#x=6, and, y=11.#

From the Defn. of Equality of Matrices, we have,

#(1): y=2x-1, and, (2): x=y-5#.

#"Substituting "y" from "(1)" into "(2)," we get,"#

#x=(2x-1)-5=2x-6.#

#:. x-2x=-6, i.e., x=6.#

Then, by #(1), y=2(6)-1=11.#

Thus, #x=6, and, y=11.#