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

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